-
1
-
-
0040835721
-
Recherches sur les fonctions elliptiques
-
N.H. Abel, "Recherches sur les fonctions elliptiques," J. Reine Angew. Math. 2 (1827), 101-181; reprinted in (Euvres Complètes T1, Grondahl and Son, Christiania, 1881, pp. 263-388; reprinted by Johnson Reprint Corporation, New York, 1965.
-
(1827)
J. Reine Angew. Math.
, vol.2
, pp. 101-181
-
-
Abel, N.H.1
-
2
-
-
0040835721
-
-
reprinted in (Grondahl and Son, Christiania)
-
N.H. Abel, "Recherches sur les fonctions elliptiques," J. Reine Angew. Math. 2 (1827), 101-181; reprinted in (Euvres Complètes T1, Grondahl and Son, Christiania, 1881, pp. 263-388; reprinted by Johnson Reprint Corporation, New York, 1965.
-
(1881)
Euvres Complètes
, vol.T1
, pp. 263-388
-
-
-
3
-
-
0040835721
-
-
reprinted by Johnson Reprint Corporation, New York
-
N.H. Abel, "Recherches sur les fonctions elliptiques," J. Reine Angew. Math. 2 (1827), 101-181; reprinted in (Euvres Complètes T1, Grondahl and Son, Christiania, 1881, pp. 263-388; reprinted by Johnson Reprint Corporation, New York, 1965.
-
(1965)
-
-
-
4
-
-
0141820578
-
Some determinants of Bernoulli, Euler, and related numbers
-
W.A. Al Salam and L. Carlitz, "Some determinants of Bernoulli, Euler, and related numbers," Portugal. Math. 18(2) (1959), 91-99.
-
(1959)
Portugal. Math.
, vol.18
, Issue.2
, pp. 91-99
-
-
Al Salam, W.A.1
Carlitz, L.2
-
5
-
-
0141485937
-
On the representation of a number as the sum of an even number of squares
-
K. Ananda-Rau, "On the representation of a number as the sum of an even number of squares," J. Madras Univ. Sect. B 24 (1954), 61-89.
-
(1954)
J. Madras Univ. Sect. B
, vol.24
, pp. 61-89
-
-
Ananda-Rau, K.1
-
6
-
-
0016115402
-
Applications of basic hypergeometric functions
-
G.E. Andrews, "Applications of basic hypergeometric functions, " SIAM Rev. 16 (1974), 441-484.
-
(1974)
SIAM Rev.
, vol.16
, pp. 441-484
-
-
Andrews, G.E.1
-
7
-
-
0003243481
-
q-Series: Their development and application in analysis, number theory, combinatorics, physics and computer algebra
-
G.E. Andrews, "q-Series: Their development and application in analysis, number theory, combinatorics, physics and computer algebra," in NSF CBMS Regional Conference Series, Vol. 66, 1986.
-
(1986)
NSF CBMS Regional Conference Series
, vol.66
-
-
Andrews, G.E.1
-
8
-
-
0003361328
-
Special functions
-
(G.-C. Rota, ed.), Cambridge University Press, Cambridge
-
G.E. Andrews, R. Askey, and R. Roy, "Special functions," in Encyclopedia of Mathematics and its Applications, Vol. 71 (G.-C. Rota, ed.), Cambridge University Press, Cambridge, 1999.
-
(1999)
Encyclopedia of Mathematics and Its Applications
, vol.71
-
-
Andrews, G.E.1
Askey, R.2
Roy, R.3
-
9
-
-
84889977286
-
-
Springer-Verlag, New York, in preparation
-
G.E. Andrews and B.C. Berndt, Ramanujan's Lost Notebook, Part I, Springer-Verlag, New York, in preparation.
-
Ramanujan's Lost Notebook
, Issue.PART I
-
-
Andrews, G.E.1
Berndt, B.C.2
-
11
-
-
0001404363
-
Recurrence, relations, continued fractions and orthogonal polynomials
-
108 pp.
-
R. Askey and M.E.H. Ismail, "Recurrence, relations, continued fractions and orthogonal polynomials," Mem. Amer Math. Soc. 300 (1984), 108 pp.
-
(1984)
Mem. Amer Math. Soc.
, vol.300
-
-
Askey, R.1
Ismail, M.E.H.2
-
12
-
-
0001940262
-
Critical correlations in a Z-invariant inhomogeneous Ising model
-
H. Au-Yang and J.H.H. Perk, "Critical correlations in a Z-invariant inhomogeneous Ising model," Phys. A 144 (1987), 44-104.
-
(1987)
Phys. A
, vol.144
, pp. 44-104
-
-
Au-Yang, H.1
Perk, J.H.H.2
-
13
-
-
0141485941
-
Diophantus and diophantine equations
-
Mathematical Association of America, Washington, DC, xvi+90 pp.; translated from the Russian original by Abe Shenitzer and updated by Joseph Silverman
-
I.G. Bashmakova, "Diophantus and diophantine equations," Vol. 20 of The Dolciani Mathematical Expositions, Mathematical Association of America, Washington, DC, 1997, xvi+90 pp.; translated from the 1972 Russian original by Abe Shenitzer and updated by Joseph Silverman.
-
(1972)
Vol. 20 of the Dolciani Mathematical Expositions
, vol.20
-
-
Bashmakova, I.G.1
-
14
-
-
0033249069
-
The birth of literal algebra
-
translated from the Russian and edited by Abe Shenitzer
-
I.G. Bashmakova and G.S. Smirnova, "The birth of literal algebra," Amer. Math. Monthly 106 (1999), 57-66; translated from the Russian and edited by Abe Shenitzer.
-
(1999)
Amer. Math. Monthly
, vol.106
, pp. 57-66
-
-
Bashmakova, I.G.1
Smirnova, G.S.2
-
15
-
-
84972544373
-
Recurrent determinants of Legendre and of ultraspherical polynomials
-
E.F. Beckenbach, W. Seidel, and O. Szász, "Recurrent determinants of Legendre and of ultraspherical polynomials," Duke Math. J. 18 (1951), 1-10.
-
(1951)
Duke Math. J.
, vol.18
, pp. 1-10
-
-
Beckenbach, E.F.1
Seidel, W.2
Szász, O.3
-
16
-
-
0141485940
-
On the number of representations of 2n as a sum of 2r squares
-
E.T Bell, "On the number of representations of 2n as a sum of 2r squares," Bull. Amer Math. Soc. 26 (1919), 19-25.
-
(1919)
Bull. Amer Math. Soc.
, vol.26
, pp. 19-25
-
-
Bell, E.T.1
-
18
-
-
0141709273
-
On the power series for elliptic functions
-
E.T Bell, "On the power series for elliptic functions," Trans. Amer Math. Soc. 36 (1934), 841-852.
-
(1934)
Trans. Amer Math. Soc.
, vol.36
, pp. 841-852
-
-
Bell, E.T.1
-
19
-
-
0141485939
-
The arithmetical function M(n, f, g) and its associates connected with elliptic power series
-
E.T Bell, "The arithmetical function M(n, f, g) and its associates connected with elliptic power series," Amer J. Math. 58 (1936), 759-768.
-
(1936)
Amer J. Math.
, vol.58
, pp. 759-768
-
-
Bell, E.T.1
-
20
-
-
0141709275
-
Polynomial approximations for elliptic functions
-
E.T Bell, "Polynomial approximations for elliptic functions," Trans. Amer Math. Soc. 44 (1938), 47-57.
-
(1938)
Trans. Amer Math. Soc.
, vol.44
, pp. 47-57
-
-
Bell, E.T.1
-
21
-
-
0000459042
-
The Nevanlinna parameterization for some indeterminate Stieltjes moment problems associated with birth and death processes
-
C. Berg and G. Valent, "The Nevanlinna parameterization for some indeterminate Stieltjes moment problems associated with birth and death processes," Methods Appl. Anal. 1 (1994), 169-209.
-
(1994)
Methods Appl. Anal.
, vol.1
, pp. 169-209
-
-
Berg, C.1
Valent, G.2
-
22
-
-
0141597546
-
-
Springer Verlag, New York
-
B.C. Berndt, Ramanujan's Notebooks, Part II, Springer Verlag, New York, 1989.
-
(1989)
Ramanujan's Notebooks
, Issue.PART II
-
-
Berndt, B.C.1
-
23
-
-
0141709271
-
-
Springer Verlag, New York
-
B.C. Berndt, Ramanujan's Notebooks, Part III, Springer Verlag, New York, 1991.
-
(1991)
Ramanujan's Notebooks
, Issue.PART III
-
-
Berndt, B.C.1
-
24
-
-
0039918596
-
Ramanujan's theory of theta-functions
-
(M. Ram Murty, ed.), of CRM Proceedings & Lecture Notes, American Mathematical Society, Providence, RI
-
B.C. Berndt, "Ramanujan's theory of theta-functions," in Theta Functions From the Classical to the Modern (M. Ram Murty, ed.), Vol. 1 of CRM Proceedings & Lecture Notes, American Mathematical Society, Providence, RI, 1993, 1-63.
-
(1993)
Theta Functions From the Classical to the Modern
, vol.1
, pp. 1-63
-
-
Berndt, B.C.1
-
25
-
-
0141597580
-
-
Springer Verlag, New York
-
B.C. Berndt, Ramanujan's Notebooks, Part V, Springer Verlag, New York, 1998.
-
(1998)
Ramanujan's Notebooks
, Issue.PART V
-
-
Berndt, B.C.1
-
26
-
-
27144509592
-
Fragments by ramanujan on lambert series
-
(Kyoto) (K. Györy and S. Kanemitsu, eds.), of Dev. Math., Kluwer Academic Publishers, Dordrecht
-
B.C. Berndt, "Fragments by Ramanujan on Lambert Series," in Number Theory and Its Applications (Kyoto, 1997) (K. Györy and S. Kanemitsu, eds.), Vol. 2 of Dev. Math., Kluwer Academic Publishers, Dordrecht, 1999, pp. 35-49.
-
(1997)
Number Theory and Its Applications
, vol.2
, pp. 35-49
-
-
Berndt, B.C.1
-
27
-
-
0141485938
-
4s(q)
-
Publications of the Ramanujan Institute, Ramanujan Institute, Madras
-
4s(q)," in Ananda Rau Memorial Volume, Publications of the Ramanujan Institute, No. 1., Ramanujan Institute, Madras, 1969, pp. 25-33.
-
(1969)
Ananda Rau Memorial Volume
, vol.1
, pp. 25-33
-
-
Bhaskaran, M.1
-
28
-
-
0141820576
-
Lattice points in a sphere
-
M.N. Bleicher and M.I. Knopp, "Lattice points in a sphere," Acta Arith. 10 (1964/1965), 369-376.
-
(1964)
Acta Arith.
, vol.10
, pp. 369-376
-
-
Bleicher, M.N.1
Knopp, M.I.2
-
29
-
-
0141485902
-
The function τ(n) of S. Ramanujan
-
F. van der Blij[i], "The function τ(n) of S. Ramanujan," Math. Student 18 (1950), 83-99.
-
(1950)
Math. Student
, vol.18
, pp. 83-99
-
-
Van der Blij, F.1
-
31
-
-
0141709269
-
Proofs and confirmations. The story of the alternating sign matrix conjecture
-
Mathematical Association of America. Washington, DC/Cambridge University Press, Cambridge
-
D.M. Bressoud, "Proofs and confirmations. The story of the alternating sign matrix conjecture," in MAA Spectrum, Mathematical Association of America. Washington, DC/Cambridge University Press, Cambridge, 1999, pp. 245-256.
-
(1999)
MAA Spectrum
, pp. 245-256
-
-
Bressoud, D.M.1
-
32
-
-
0001593253
-
How the alternating sign matrix conjecture was solved
-
D.M. Bressoud and J. Propp, "How the alternating sign matrix conjecture was solved," Notices Amer Math. Soc. 46 (1999), 637-646.
-
(1999)
Notices Amer Math. Soc.
, vol.46
, pp. 637-646
-
-
Bressoud, D.M.1
Propp, J.2
-
34
-
-
0346823750
-
On the enumeration of irreducible k-fold Euler sums and their roles in knot theory and field theory
-
to appear
-
D.J. Broadhurst, "On the enumeration of irreducible k-fold Euler sums and their roles in knot theory and field theory," J. Math. Phys., to appear.
-
J. Math. Phys.
-
-
Broadhurst, D.J.1
-
35
-
-
0141485930
-
Sur une application des fonctions elliptiques au problème de représentation des nombres entiers par une somme de carŕs
-
V. Bulygin, "Sur une application des fonctions elliptiques au problème de représentation des nombres entiers par une somme de carŕs," Bull. Acad. Imp. Sci. St. Petersbourg Ser. VI 8 (1914), 389-404; B. Boulyguine, "Sur la représentation d'un nombre entier par une somme de carrés," Comptes Rendus Paris 158 (1914), 328-330.
-
(1914)
Bull. Acad. Imp. Sci. St. Petersbourg Ser. VI
, vol.8
, pp. 389-404
-
-
Bulygin, V.1
-
36
-
-
0141820543
-
Sur la représentation d'un nombre entier par une somme de carrés
-
V. Bulygin, "Sur une application des fonctions elliptiques au problème de représentation des nombres entiers par une somme de carŕs," Bull. Acad. Imp. Sci. St. Petersbourg Ser. VI 8 (1914), 389-404; B. Boulyguine, "Sur la représentation d'un nombre entier par une somme de carrés," Comptes Rendus Paris 158 (1914), 328-330.
-
(1914)
Comptes Rendus Paris
, vol.158
, pp. 328-330
-
-
Boulyguine, B.1
-
37
-
-
0141709233
-
Sur la représentation d'un nombre entier par une somme de carrés
-
V. Bulygin (B. Boulyguine), "Sur la représentation d'un nombre entier par une somme de carrés," Comptes Rendus Paris 161 (1915), 28-30.
-
(1915)
Comptes Rendus Paris
, vol.161
, pp. 28-30
-
-
Bulygin, V.1
-
38
-
-
84963103557
-
An algebraic property of the classical polynomials
-
J.L. Burchnall, "An algebraic property of the classical polynomials," Proc. London Math. Soc. 1(3) (1951), 232-240.
-
(1951)
Proc. London Math. Soc.
, vol.1
, Issue.3
, pp. 232-240
-
-
Burchnall, J.L.1
-
39
-
-
84972569105
-
Hankel determinants and Bernoulli numbers
-
L. Carlitz, "Hankel determinants and Bernoulli numbers," Tôhoku Math. J. 5(2) (1954), 272-276.
-
(1954)
Tôhoku Math. J.
, vol.5
, Issue.2
, pp. 272-276
-
-
Carlitz, L.1
-
40
-
-
84968502678
-
Note on sums of 4 and 6 squares
-
L. Carlitz, "Note on sums of 4 and 6 squares," Proc. Amer Math. Soc. 8 (1957), 120-124.
-
(1957)
Proc. Amer Math. Soc.
, vol.8
, pp. 120-124
-
-
Carlitz, L.1
-
41
-
-
84972526614
-
Some orthogonal polynomials related to elliptic functions
-
L. Carlitz, "Some orthogonal polynomials related to elliptic functions," Duke Math. J. 27 (1960), 443-459.
-
(1960)
Duke Math. J.
, vol.27
, pp. 443-459
-
-
Carlitz, L.1
-
42
-
-
0141820575
-
Bulygin's method for sums of squares. The arithmetical theory of quadratic forms, I
-
Louisiana State Univ., Baton Rouge, LA, (dedicated to Louis Joel Mordell)
-
L. Carlitz, "Bulygin's method for sums of squares. The arithmetical theory of quadratic forms, I," in Proc. Conf., Louisiana State Univ., Baton Rouge, LA, 1972 (dedicated to Louis Joel Mordell); also in J. Number Theory 5 (1973), 405-412.
-
(1972)
Proc. Conf.
-
-
Carlitz, L.1
-
43
-
-
0141820575
-
-
L. Carlitz, "Bulygin's method for sums of squares. The arithmetical theory of quadratic forms, I," in Proc. Conf., Louisiana State Univ., Baton Rouge, LA, 1972 (dedicated to Louis Joel Mordell); also in J. Number Theory 5 (1973), 405-412.
-
(1973)
J. Number Theory
, vol.5
, pp. 405-412
-
-
-
44
-
-
0141709267
-
A persymmetric determinant
-
R. Chalkley, "A persymmetric determinant," J. Math. Anal. Appl. 187 (1994), 107-117.
-
(1994)
J. Math. Anal. Appl.
, vol.187
, pp. 107-117
-
-
Chalkley, R.1
-
45
-
-
0030584352
-
On the equivalence of Ramanujn's partition identities and a connection with the Rogers-Ramanujan continued fraction
-
H.H. Chan, "On the equivalence of Ramanujn's partition identities and a connection with the Rogers-Ramanujan continued fraction," J. Math. Anal. Appl. 198 (1996), 111-120.
-
(1996)
J. Math. Anal. Appl.
, vol.198
, pp. 111-120
-
-
Chan, H.H.1
-
46
-
-
0141709270
-
-
private communication, August
-
H.H. Chan, private communication, August 1996.
-
(1996)
-
-
Chan, H.H.1
-
47
-
-
0004232544
-
-
of Grundlehren Math. Wiss, Springer Verlag, Berlin
-
K. Chandrasekharan, Elliptic Functions, Vol.281 of Grundlehren Math. Wiss, Springer Verlag, Berlin, 1985.
-
(1985)
Elliptic Functions
, vol.281
-
-
Chandrasekharan, K.1
-
48
-
-
0141597578
-
-
of Mathematics and Its Applications Gordon and Bleach, New York
-
T.S. Chihara, An Introduction to Orthogonal Polynomials, Vol. 13 of Mathematics and Its Applications Gordon and Bleach, New York, 1978.
-
(1978)
An Introduction to Orthogonal Polynomials
, vol.13
-
-
Chihara, T.S.1
-
49
-
-
0141709272
-
Enumération de tableaux de Young semi standard
-
(M. Delest, G. Jacob, and P. Leroux, eds.), Université Bordeaux I, 2-4 May
-
S.H. Choi and D. Gouyou-Beauchamps, "Enumération de tableaux de Young semi standard," in Series Formelles et Combinatoire Algebrique. Actés du Colloque (M. Delest, G. Jacob, and P. Leroux, eds.), Université Bordeaux I, 2-4 May, 1991, pp. 229-243.
-
(1991)
Series Formelles et Combinatoire Algebrique. Actés du Colloque
, pp. 229-243
-
-
Choi, S.H.1
Gouyou-Beauchamps, D.2
-
50
-
-
0006762432
-
Computational problems in arithmetic of linear differential equations. Some diophantine applications
-
1985-88 (D. & G. Chudnovsky, H. Cohn, and M. Nathanson, eds.), of Lecture Notes in Math., Springer Verlag, New York
-
D.V. Chudnovsky and G.V. Chudnovsky, "Computational problems in arithmetic of linear differential equations. Some diophantine applications," Number Theory New York, 1985-88 (D. & G. Chudnovsky, H. Cohn, and M. Nathanson, eds.), Vol. 1383 of Lecture Notes in Math., Springer Verlag, New York, 1989, pp. 12-49.
-
(1989)
Number Theory New York
, vol.1383
, pp. 12-49
-
-
Chudnovsky, D.V.1
Chudnovsky, G.V.2
-
51
-
-
0039326195
-
Hypergeometric and modular function identities, and new rational approximations to and continued fraction expansions of classical constants and functions
-
(M. Knopp and M. Sheingorn, eds.), of Contemporary Mathematics, American Mathematical Society, Providence, RI
-
D.V. Chudnovsky and G.V. Chudnovsky, "Hypergeometric and modular function identities, and new rational approximations to and continued fraction expansions of classical constants and functions," A Tribute to Emil Grosswald: Number theory and related analysis (M. Knopp and M. Sheingorn, eds.), Vol. 143 of Contemporary Mathematics, American Mathematical Society, Providence, RI, 1993, pp. 117-162.
-
(1993)
A Tribute to Emil Grosswald: Number Theory and Related Analysis
, vol.143
, pp. 117-162
-
-
Chudnovsky, D.V.1
Chudnovsky, G.V.2
-
52
-
-
0004258018
-
-
D. Reidel Pub. Co., Dordrecht Holland/Boston-USA
-
L. Comtet, Advanced Combinatorics, D. Reidel Pub. Co., Dordrecht Holland/Boston-USA, 1974.
-
(1974)
Advanced Combinatorics
-
-
Comtet, L.1
-
55
-
-
0003643241
-
-
(with additional contributions by E. Bannai, R.E. Borcherds, J. Leech, S.P. Norton, A.M. Odlyzko, R.A. Parker, L. Queen, and B.B. Venkov), of Grundlehren der Mathematischen Wissenschaften, Springer Verlag, New York
-
J.H. Conway and N.J.A. Sloane, Sphere Packings, Lattices and Groups, 3rd edn. (with additional contributions by E. Bannai, R.E. Borcherds, J. Leech, S.P. Norton, A.M. Odlyzko, R.A. Parker, L. Queen, and B.B. Venkov), Vol. 290 of Grundlehren der Mathematischen Wissenschaften, Springer Verlag, New York, 1999.
-
(1999)
Sphere Packings, Lattices and Groups, 3rd Edn.
, vol.290
-
-
Conway, J.H.1
Sloane, N.J.A.2
-
56
-
-
0001445705
-
Symmetry patterns in the mass spectra of dual string models
-
T.L. Curtright and C.B. Thorn, "Symmetry patterns in the mass spectra of dual string models," Nuclear Phys. B 274 (1986), 520-558.
-
(1986)
Nuclear Phys. B
, vol.274
, pp. 520-558
-
-
Curtright, T.L.1
Thorn, C.B.2
-
57
-
-
84971113685
-
Identities involving powers of persymmetric determinants
-
T.W. Cusick, "Identities involving powers of persymmetric determinants," Proc. Cambridge Philos. Soc. 65 (1969), 371-376.
-
(1969)
Proc. Cambridge Philos. Soc.
, vol.65
, pp. 371-376
-
-
Cusick, T.W.1
-
58
-
-
0141820545
-
On the theory of continued fractions
-
H. Datta, "On the theory of continued fractions," Proc. Edinburgh Math. Soc. 34 (1916), 109-132.
-
(1916)
Proc.Edinburgh Math. Soc.
, vol.34
, pp. 109-132
-
-
Datta, H.1
-
59
-
-
0141485936
-
Nombres de Bell et polynômes de Charlier
-
P. Delsarte, "Nombres de Bell et polynômes de Charlier," C.R. Acad. Sc. Paris (Series A) 287 (1978), 271-273.
-
(1978)
C.R. Acad. Sc. Paris (Series A)
, vol.287
, pp. 271-273
-
-
Delsarte, P.1
-
62
-
-
0010012792
-
Une approche combinatoire des fonctions elliptiques de Jacobi
-
D. Dumont, "Une approche combinatoire des fonctions elliptiques de Jacobi," Adv. in Math. 41 (1981), 1-39.
-
(1981)
Adv. in Math.
, vol.41
, pp. 1-39
-
-
Dumont, D.1
-
63
-
-
0141597543
-
Pics de cycle et dérivées partielles
-
19 pp.
-
D. Dumont, "Pics de cycle et dérivées partielles," Séminaire Lotharingien de Combinatoire 13(B13a) (1985), 19 pp.
-
(1985)
Séminaire Lotharingien de Combinatoire
, vol.13
, Issue.B13A
-
-
Dumont, D.1
-
65
-
-
84966219466
-
Missed opportunities
-
F.J. Dyson, "Missed opportunities," Bull. Amer Math. Soc. 78 (1972), 635-653.
-
(1972)
Bull. Amer Math. Soc.
, vol.78
, pp. 635-653
-
-
Dyson, F.J.1
-
66
-
-
0034195705
-
The Hankel determinant of exponential polynomials
-
R. Ehrenborg, "The Hankel determinant of exponential polynomials," Amer Math. Monthly 107 (2000), 557-560.
-
(2000)
Amer Math. Monthly
, vol.107
, pp. 557-560
-
-
Ehrenborg, R.1
-
67
-
-
0003864328
-
-
Bateman Manuscript Project (A. Erdélyi, ed.), McGraw-Hill Book Co., New York
-
A. Erdélyi (with A. Magnus, F. Oberhettinger, and F. Tricomi), Higher Transcendental Functions, Bateman Manuscript Project (A. Erdélyi, ed.), Vol. II, McGraw-Hill Book Co., New York, 1953; reissued by Robert E. Krieger Pub. Co., Malabar, Florida, 1981 and 1985.
-
(1953)
Higher Transcendental Functions
, vol.2
-
-
Erdélyi, A.1
Magnus, A.2
Oberhettinger, F.3
Tricomi, F.4
-
68
-
-
0141709263
-
On the representations of a number as a sum of squares
-
T. Estermann, "On the representations of a number as a sum of squares," Acta Arith. 2 (1936), 47-79.
-
(1936)
Acta Arith.
, vol.2
, pp. 47-79
-
-
Estermann, T.1
-
69
-
-
32844470446
-
De fractionibus continuis dissertatio
-
L. Euler, "De fractionibus continuis dissertatio," Comm. Acad. Sci. Imp. St. Pétersbourg 9 (1737), 98-137; reprinted in Works. 1911-. Leonhardi Euleri Opera Omnia (F. Rudio, A. Krazer, and P. Stackel, eds.), Ser. I, Vol. 14 (C. Boehm and G. Faber, eds.), B.G. Teubner, Lipsiae 1925, pp. 187-215; see also, "An essay on continued fractions," Math. Systems Theory 18 (1985), 295-328; translated from the Latin by Myra F. Wyman and Bostwick F. Wyman.
-
(1737)
Comm. Acad. Sci. Imp. St. Pétersbourg
, vol.9
, pp. 98-137
-
-
Euler, L.1
-
70
-
-
0141485899
-
-
reprinted in (F. Rudio, A. Krazer, and P. Stackel, eds.), Ser. I, (C. Boehm and G. Faber, eds.)
-
L. Euler, "De fractionibus continuis dissertatio," Comm. Acad. Sci. Imp. St. Pétersbourg 9 (1737), 98-137; reprinted in Works. 1911-. Leonhardi Euleri Opera Omnia (F. Rudio, A. Krazer, and P. Stackel, eds.), Ser. I, Vol. 14 (C. Boehm and G. Faber, eds.), B.G. Teubner, Lipsiae 1925, pp. 187-215; see also, "An essay on continued fractions," Math. Systems Theory 18 (1985), 295-328; translated from the Latin by Myra F. Wyman and Bostwick F. Wyman.
-
Works. 1911-. Leonhardi Euleri Opera Omnia
, vol.14
-
-
-
71
-
-
0141709237
-
-
L. Euler, "De fractionibus continuis dissertatio," Comm. Acad. Sci. Imp. St. Pétersbourg 9 (1737), 98-137; reprinted in Works. 1911-. Leonhardi Euleri Opera Omnia (F. Rudio, A. Krazer, and P. Stackel, eds.), Ser. I, Vol. 14 (C. Boehm and G. Faber, eds.), B.G. Teubner, Lipsiae 1925, pp. 187-215; see also, "An essay on continued fractions," Math. Systems Theory 18 (1985), 295-328; translated from the Latin by Myra F. Wyman and Bostwick F. Wyman.
-
(1925)
Lipsiae
, pp. 187-215
-
-
Teubner, B.G.1
-
72
-
-
0141597577
-
An essay on continued fractions
-
translated from the Latin by Myra F. Wyman and Bostwick F. Wyman
-
L. Euler, "De fractionibus continuis dissertatio," Comm. Acad. Sci. Imp. St. Pétersbourg 9 (1737), 98-137; reprinted in Works. 1911-. Leonhardi Euleri Opera Omnia (F. Rudio, A. Krazer, and P. Stackel, eds.), Ser. I, Vol. 14 (C. Boehm and G. Faber, eds.), B.G. Teubner, Lipsiae 1925, pp. 187-215; see also, "An essay on continued fractions," Math. Systems Theory 18 (1985), 295-328; translated from the Latin by Myra F. Wyman and Bostwick F. Wyman.
-
(1985)
Math. Systems Theory
, vol.18
, pp. 295-328
-
-
-
73
-
-
0141597576
-
De fractionibus continuis observationes
-
L. Euler, "De fractionibus continuis observationes," Comm. Acad. Sci. Imp. St. Pétersbourg 11 (1739), 32-81; reprinted in Works. 1911-. Leonhardi Euleri Opera Omnia (F. Rudio, A. Krazer, and P. Stackel, eds.), Ser. I, Vol. 14 (C. Boehm and G. Faber, eds.), B.G. Teubner, Lipsiae, 1925, pp. 291-349.
-
(1739)
Comm. Acad. Sci. Imp. St. Pétersbourg
, vol.11
, pp. 32-81
-
-
Euler, L.1
-
74
-
-
0141485912
-
-
reprinted in (F. Rudio, A. Krazer, and P. Stackel, eds.), Ser. I, (C. Boehm and G. Faber, eds.)
-
L. Euler, "De fractionibus continuis observationes," Comm. Acad. Sci. Imp. St. Pétersbourg 11 (1739), 32-81; reprinted in Works. 1911-. Leonhardi Euleri Opera Omnia (F. Rudio, A. Krazer, and P. Stackel, eds.), Ser. I, Vol. 14 (C. Boehm and G. Faber, eds.), B.G. Teubner, Lipsiae, 1925, pp. 291-349.
-
Works. 1911-. Leonhardi Euleri Opera Omnia
, vol.14
-
-
-
75
-
-
0141709237
-
-
L. Euler, "De fractionibus continuis observationes," Comm. Acad. Sci. Imp. St. Pétersbourg 11 (1739), 32-81; reprinted in Works. 1911-. Leonhardi Euleri Opera Omnia (F. Rudio, A. Krazer, and P. Stackel, eds.), Ser. I, Vol. 14 (C. Boehm and G. Faber, eds.), B.G. Teubner, Lipsiae, 1925, pp. 291-349.
-
(1925)
Lipsiae
, pp. 291-349
-
-
Teubner, B.G.1
-
76
-
-
0141709239
-
-
Marcum-Michaelem Bousquet, Lausanne
-
L. Euleri, Introductio in Analysin Infinitorum, Vol. I, Marcum-Michaelem Bousquet, Lausanne, 1748; reprinted in Works. 1911-. Leonhardi Euleri Opera Omnia (F. Rudio, A. Krazer, and P. Stackel, eds.), Ser. I, Vol. 8 (A. Krazer and F. Rudio, eds.), B.G. Teubner, Lipsiae, 1922, pp. 1-392, (see bibliographie on page b*); see also, Introduction to Analysis of the Infinite: Book I, Springer Verlag, New York, 1988; translated from the Latin by John D. Blanton.
-
(1748)
Introductio in Analysin Infinitorum
, vol.1
-
-
Euleri, L.1
-
77
-
-
0141597552
-
-
reprinted in (F. Rudio, A. Krazer, and P. Stackel, eds.), Ser. I, (A. Krazer and F. Rudio, eds.)
-
L. Euleri, Introductio in Analysin Infinitorum, Vol. I, Marcum-Michaelem Bousquet, Lausanne, 1748; reprinted in Works. 1911-. Leonhardi Euleri Opera Omnia (F. Rudio, A. Krazer, and P. Stackel, eds.), Ser. I, Vol. 8 (A. Krazer and F. Rudio, eds.), B.G. Teubner, Lipsiae, 1922, pp. 1-392, (see bibliographie on page b*); see also, Introduction to Analysis of the Infinite: Book I, Springer Verlag, New York, 1988; translated from the Latin by John D. Blanton.
-
Works. 1911-. Leonhardi Euleri Opera Omnia
, vol.8
-
-
-
78
-
-
0141597542
-
-
see bibliographie on page b*
-
L. Euleri, Introductio in Analysin Infinitorum, Vol. I, Marcum-Michaelem Bousquet, Lausanne, 1748; reprinted in Works. 1911-. Leonhardi Euleri Opera Omnia (F. Rudio, A. Krazer, and P. Stackel, eds.), Ser. I, Vol. 8 (A. Krazer and F. Rudio, eds.), B.G. Teubner, Lipsiae, 1922, pp. 1-392, (see bibliographie on page b*); see also, Introduction to Analysis of the Infinite: Book I, Springer Verlag, New York, 1988; translated from the Latin by John D. Blanton.
-
(1922)
Lipsiae
, pp. 1-392
-
-
Teubner, B.G.1
-
79
-
-
0004105303
-
-
Springer Verlag, New York; translated from the Latin by John D. Blanton
-
L. Euleri, Introductio in Analysin Infinitorum, Vol. I, Marcum-Michaelem Bousquet, Lausanne, 1748; reprinted in Works. 1911-. Leonhardi Euleri Opera Omnia (F. Rudio, A. Krazer, and P. Stackel, eds.), Ser. I, Vol. 8 (A. Krazer and F. Rudio, eds.), B.G. Teubner, Lipsiae, 1922, pp. 1-392, (see bibliographie on page b*); see also, Introduction to Analysis of the Infinite: Book I, Springer Verlag, New York, 1988; translated from the Latin by John D. Blanton.
-
(1988)
Introduction to Analysis of the Infinite: Book I
-
-
-
80
-
-
0141597547
-
-
Opuscula Analytica, t. ii, Petropoli: Typis Academiae Imperialis Scientiarum (1783-1785)
-
L. Euler, De transformatione serierum in fractiones continuas: ubi simul haec theoria non mediocriter amplificatur, Opuscula Analytica, t. ii, Petropoli: Typis Academiae Imperialis Scientiarum (1783-1785), 1785, pp. 138-177; reprinted in Works. 1911-. Leonhardi Euleri Opera Omnia (F. Rudio, A. Krazer, A. Speiser, and L.G. du Pasquier, eds.), Ser. I, Vol. 15 (G. Faber, ed.), B.G. Teubner, Lipsiae, 1927, pp. 661-700.
-
(1785)
De Transformatione Serierum in Fractiones Continuas: Ubi Simul Haec Theoria Non Mediocriter Amplificatur
, pp. 138-177
-
-
Euler, L.1
-
81
-
-
0141485913
-
-
reprinted in (F. Rudio, A. Krazer, A. Speiser, and L.G. du Pasquier, eds.), Ser. I, (G. Faber, ed.)
-
L. Euler, De transformatione serierum in fractiones continuas: ubi simul haec theoria non mediocriter amplificatur, Opuscula Analytica, t. ii, Petropoli: Typis Academiae Imperialis Scientiarum (1783-1785), 1785, pp. 138-177; reprinted in Works. 1911-. Leonhardi Euleri Opera Omnia (F. Rudio, A. Krazer, A. Speiser, and L.G. du Pasquier, eds.), Ser. I, Vol. 15 (G. Faber, ed.), B.G. Teubner, Lipsiae, 1927, pp. 661-700.
-
Works. 1911-. Leonhardi Euleri Opera Omnia
, vol.15
-
-
-
82
-
-
0141820574
-
-
L. Euler, De transformatione serierum in fractiones continuas: ubi simul haec theoria non mediocriter amplificatur, Opuscula Analytica, t. ii, Petropoli: Typis Academiae Imperialis Scientiarum (1783-1785), 1785, pp. 138-177; reprinted in Works. 1911-. Leonhardi Euleri Opera Omnia (F. Rudio, A. Krazer, A. Speiser, and L.G. du Pasquier, eds.), Ser. I, Vol. 15 (G. Faber, ed.), B.G. Teubner, Lipsiae, 1927, pp. 661-700.
-
(1927)
Lipsiae
, pp. 661-700
-
-
Teubner, B.G.1
-
83
-
-
0042309538
-
Combinatorial aspects of continued fractions
-
P. Flajolet, "Combinatorial aspects of continued fractions," Discrete Math. 32 (1980), 125-161.
-
(1980)
Discrete Math.
, vol.32
, pp. 125-161
-
-
Flajolet, P.1
-
84
-
-
0141709264
-
On congruences and continued fractions for some classical combinatorial quantities
-
P. Flajolet, "On congruences and continued fractions for some classical combinatorial quantities," Discrete Math. 41 (1982), 145-153.
-
(1982)
Discrete Math.
, vol.41
, pp. 145-153
-
-
Flajolet, P.1
-
85
-
-
0141485904
-
Elliptic functions, continued fractions and doubled permutations
-
P. Flajolet and J. Françon, "Elliptic functions, continued fractions and doubled permutations," European J. Combin. 10 (1989), 235-241.
-
(1989)
European J. Combin.
, vol.10
, pp. 235-241
-
-
Flajolet, P.1
Françon, J.2
-
86
-
-
79960926957
-
Über relationen zwischen den näherungsbrüchen von potenzreihen
-
F.G. Frobenius, "Über Relationen zwischen den Näherungsbrüchen von Potenzreihen," J. Reine Angew. Math. 90 (1881), 1-17; reprinted in Frobenius' Gesammelte Abhandlungen (J.-P Serre, ed.), Vol. 2, Springer-Verlag, Berlin, 1968, pp. 47-63.
-
(1881)
J. Reine Angew. Math.
, vol.90
, pp. 1-17
-
-
Frobenius, F.G.1
-
87
-
-
79960926957
-
-
reprinted in (J.-P Serre, ed.), Springer-Verlag, Berlin
-
F.G. Frobenius, "Über Relationen zwischen den Näherungsbrüchen von Potenzreihen," J. Reine Angew. Math. 90 (1881), 1-17; reprinted in Frobenius' Gesammelte Abhandlungen (J.-P Serre, ed.), Vol. 2, Springer-Verlag, Berlin, 1968, pp. 47-63.
-
(1968)
Frobenius' Gesammelte Abhandlungen
, vol.2
, pp. 47-63
-
-
-
88
-
-
0001402230
-
Zur theorie der elliptischen functionen
-
F.G. Frobenius and L. Stickelberger, "Zur Theorie der elliptischen Functionen," J. Reine Angew. Math. 83 (1877), 175-179; reprinted in Frobenius' Gesammelte Abhandlungen (J.P. Serre, ed.), Vol. 1, Springer Verlag, Berlin, 1968, pp. 335-339.
-
(1877)
J. Reine Angew. Math.
, vol.83
, pp. 175-179
-
-
Frobenius, F.G.1
Stickelberger, L.2
-
89
-
-
0001402230
-
-
reprinted in (J.P. Serre, ed.), Springer Verlag, Berlin
-
F.G. Frobenius and L. Stickelberger, "Zur Theorie der elliptischen Functionen," J. Reine Angew. Math. 83 (1877), 175-179; reprinted in Frobenius' Gesammelte Abhandlungen (J.P. Serre, ed.), Vol. 1, Springer Verlag, Berlin, 1968, pp. 335-339.
-
(1968)
Frobenius' Gesammelte Abhandlungen
, vol.1
, pp. 335-339
-
-
-
90
-
-
84941508439
-
Über die addition und multiplication der elliptischen functionen
-
F.G. Frobenius and L. Stickelberger; "Über die Addition und Multiplication der elliptischen Functionen," J. Reine Angew. Math. 88 (1880), 146-184; reprinted in Frobenius' Gesammelte Abhandlungen (J.-P Serre, ed.), Vol. 1, Springer-Verlag, Berlin, 1968, pp. 612-650.
-
(1880)
J. Reine Angew. Math.
, vol.88
, pp. 146-184
-
-
Frobenius, F.G.1
Stickelberger, L.2
-
91
-
-
84941508439
-
-
reprinted in (J.-P Serre, ed.), Springer-Verlag, Berlin
-
F.G. Frobenius and L. Stickelberger; "Über die Addition und Multiplication der elliptischen Functionen," J. Reine Angew. Math. 88 (1880), 146-184; reprinted in Frobenius' Gesammelte Abhandlungen (J.-P Serre, ed.), Vol. 1, Springer-Verlag, Berlin, 1968, pp. 612-650.
-
(1968)
Frobenius' Gesammelte Abhandlungen
, vol.1
, pp. 612-650
-
-
-
92
-
-
0034408801
-
The number of rhombus tilings of a symmetric hexagon which contain a fixed rhombus on the symmetry axis, II
-
M. Fulmek and C. Krattenthaler, "The number of rhombus tilings of a symmetric hexagon which contain a fixed rhombus on the symmetry axis, II," European J. Combin. 21 (2000), 601-640.
-
(2000)
European J. Combin.
, vol.21
, pp. 601-640
-
-
Fulmek, M.1
Krattenthaler, C.2
-
93
-
-
0141597550
-
Dedekind's η-function and the cohomology of infinite dimensional Lie algebras
-
H. Garland, "Dedekind's η-function and the cohomology of infinite dimensional Lie algebras," Proc. Nat. Acad. Sci., U.S.A. 72 (1975), 2493-2495.
-
(1975)
Proc. Nat. Acad. Sci., U.S.A.
, vol.72
, pp. 2493-2495
-
-
Garland, H.1
-
94
-
-
0003084609
-
Lie algebra homology and the Macdonald Kac-formulas
-
H. Garland and J. Lepowsky, "Lie algebra homology and the Macdonald Kac-formulas," Invent. Math. 34 (1976), 37-76.
-
(1976)
Invent. Math.
, vol.34
, pp. 37-76
-
-
Garland, H.1
Lepowsky, J.2
-
95
-
-
0141820572
-
-
private communication, March
-
F. Garvan, private communication, March 1997.
-
(1997)
-
-
Garvan, F.1
-
96
-
-
0003344023
-
Basic hypergeometric series
-
(G.-C. Rota, ed.), Cambridge University Press, Cambridge
-
G. Gasper and M. Rahman, "Basic hypergeometric series," in Encyclopedia of Mathematics and its Applications, Vol. 35 (G.-C. Rota, ed.), Cambridge University Press, Cambridge, 1990.
-
(1990)
Encyclopedia of Mathematics and Its Applications
, vol.35
-
-
Gasper, G.1
Rahman, M.2
-
97
-
-
0141597571
-
On some persymmetric determinants
-
J. Geronimus, "On some persymmetric determinants," Proc. Roy. Soc. Edinburgh 50 (1930), 304-309.
-
(1930)
Proc. Roy. Soc. Edinburgh
, vol.50
, pp. 304-309
-
-
Geronimus, J.1
-
98
-
-
84963042212
-
On some persymmetric determinants formed by the polynomials of M. Appell
-
J. Geronimus, "On some persymmetric determinants formed by the polynomials of M. Appell," J. London Math. Soc. 6 (1931), 55-59.
-
(1931)
J. London Math. Soc.
, vol.6
, pp. 55-59
-
-
Geronimus, J.1
-
99
-
-
0000868570
-
Binomial determinants, paths, and hook length formulae
-
I. Gessel and G. Viennot, "Binomial determinants, paths, and hook length formulae," Adv. in Math. 58 (1985), 300-321.
-
(1985)
Adv. in Math.
, vol.58
, pp. 300-321
-
-
Gessel, I.1
Viennot, G.2
-
100
-
-
0032340946
-
Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - An analytic approach
-
F. Gesztesy and R. Weikard, "Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - An analytic approach," Bull. Amer Math. Soc. (N.S.) 35 (1998), 271-317.
-
(1998)
Bull. Amer Math. Soc. (N.S.)
, vol.35
, pp. 271-317
-
-
Gesztesy, F.1
Weikard, R.2
-
101
-
-
0001015214
-
On the square of the series in which the coefficients are the sums of the divisors of the exponents
-
J.W.L. Glaisher, "On the square of the series in which the coefficients are the sums of the divisors of the exponents," Mess. Math., New Series 14 (1884-85), 156-163; reprinted in J.W.L. Glaisher, Mathematical Papers, Chiefly Connected with the q-series in Elliptic Functions (1883-1885), Cambridge, W. Metcalfe and Son, Trinity Street, 1885, pp. 371-379.
-
(1884)
Mess. Math., New Series
, vol.14
, pp. 156-163
-
-
Glaisher, J.W.L.1
-
102
-
-
0141709266
-
-
reprinted in, Chiefly Connected with the q-series in Elliptic Functions (1883-1885), Cambridge, W. Metcalfe and Son, Trinity Street
-
J.W.L. Glaisher, "On the square of the series in which the coefficients are the sums of the divisors of the exponents," Mess. Math., New Series 14 (1884-85), 156-163; reprinted in J.W.L. Glaisher, Mathematical Papers, Chiefly Connected with the q-series in Elliptic Functions (1883-1885), Cambridge, W. Metcalfe and Son, Trinity Street, 1885, pp. 371-379.
-
(1885)
Mathematical Papers
, pp. 371-379
-
-
Glaisher, J.W.L.1
-
103
-
-
84960596961
-
On the numbers of representations of a number as a sum of 2r squares, where 2r does not exceed eighteen
-
J.W.L. Glaishe," On the numbers of representations of a number as a sum of 2r squares, where 2r does not exceed eighteen," Proc. London Math. Soc. 5(2) (1907), 479-490.
-
(1907)
Proc. London Math. Soc.
, vol.5
, Issue.2
, pp. 479-490
-
-
Glaishe, J.W.L.1
-
104
-
-
0042795558
-
On the representations of a number as the sum of two, four, six, eight, ten, and twelve squares
-
J.W.L. Glaisher, "On the representations of a number as the sum of two, four, six, eight, ten, and twelve squares," Quart. J. Pure and Appl. Math. Oxford 38 (1907), 1-62.
-
(1907)
Quart. J. Pure and Appl. Math. Oxford
, vol.38
, pp. 1-62
-
-
Glaisher, J.W.L.1
-
105
-
-
0141597549
-
On the representations of a number as the sum of fourteen and sixteen squares
-
J.W.L. Glaisher, "On the representations of a number as the sum of fourteen and sixteen squares," Quart. J. Pure and Appl. Math. Oxford 38 (1907), 178-236.
-
(1907)
Quart. J. Pure and Appl. Math. Oxford
, vol.38
, pp. 178-236
-
-
Glaisher, J.W.L.1
-
106
-
-
0141597551
-
On the representations of a number as the sum of eighteen squares
-
J.W.L. Glaisher, "On the representations of a number as the sum of eighteen squares," Quart. J. Pure and Appl. Math. Oxford 38 (1907), 289-351.
-
(1907)
Quart. J. Pure and Appl. Math. Oxford
, vol.38
, pp. 289-351
-
-
Glaisher, J.W.L.1
-
107
-
-
0141709238
-
-
private communication, April
-
M.L. Glasser, private communication, April 1996.
-
(1996)
-
-
Glasser, M.L.1
-
108
-
-
0002391010
-
-
of Theoretical Chemistry: Advances and Perspectives (H. Eyring and D. Henderson, eds.), Academic Press, New York
-
M.L. Glasser and I.J. Zucker, Lattice Sums, Vol. 5 of Theoretical Chemistry: Advances and Perspectives (H. Eyring and D. Henderson, eds.), Academic Press, New York, 1980, pp. 67-139.
-
(1980)
Lattice Sums
, vol.5
, pp. 67-139
-
-
Glasser, M.L.1
Zucker, I.J.2
-
109
-
-
0040234590
-
Explicit formulas for Bernoulli numbers
-
H.W. Gould, "Explicit formulas for Bernoulli numbers," Amer Math. Monthly 79 (1972), 44-51.
-
(1972)
Amer Math. Monthly
, vol.79
, pp. 44-51
-
-
Gould, H.W.1
-
111
-
-
0003498504
-
-
Academic Press, San Diego; translated from the Russian by Scripta Technica, Inc., and edited by A. Jeffrey
-
I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products, 4th edn., Academic Press, San Diego, 1980; translated from the Russian by Scripta Technica, Inc., and edited by A. Jeffrey.
-
(1980)
Table of Integrals, Series, and Products, 4th Edn.
-
-
Gradshteyn, I.S.1
Ryzhik, I.M.2
-
113
-
-
84974233536
-
On the representation of a number as a sum of squares
-
K.-B. Gundlach, "On the representation of a number as a sum of squares," Glasgow Math. J. 19 (1978), 173-197.
-
(1978)
Glasgow Math. J.
, vol.19
, pp. 173-197
-
-
Gundlach, K.-B.1
-
114
-
-
0001726277
-
The Macdonald identities for affine root systems of classical type and hypergeometric series very well-poised on semi-simple Lie algebras
-
Pune, India, Dec. 26-28, 1987 (N.K. Thakare, ed.)
-
R.A. Gustafson, "The Macdonald identities for affine root systems of classical type and hypergeometric series very well-poised on semi-simple Lie algebras," in Ramanujan International Symposium on Analysis, Pune, India, Dec. 26-28, 1987 (N.K. Thakare, ed.), 1989, pp. 187-224.
-
(1989)
Ramanujan International Symposium on Analysis
, pp. 187-224
-
-
Gustafson, R.A.1
-
116
-
-
0141597553
-
q Polynômes de Ghandi et statistique de Denert
-
G.-N. Han and J. Zeng, "q Polynômes de Ghandi et statistique de Denert," Discrete Math. 205 (1999), 119-143.
-
(1999)
Discrete Math.
, vol.205
, pp. 119-143
-
-
Han, G.-N.1
Zeng, J.2
-
117
-
-
0141697153
-
On the representation of a number as the sum of any number of squares, and in particular of five or seven
-
G.H. Hardy, "On the representation of a number as the sum of any number of squares, and in particular of five or seven," Proc. Nat. Acad. Sci., U.S.A. 4 (1918), 189-193.
-
(1918)
Proc. Nat. Acad. Sci., U.S.A.
, vol.4
, pp. 189-193
-
-
Hardy, G.H.1
-
118
-
-
84966227126
-
On the representation of a number as the sum of any number of squares, and in particular of five
-
G.H. Hardy, "On the representation of a number as the sum of any number of squares, and in particular of five," Trans. Amer Math. Soc. 21 (1920), 255-284.
-
(1920)
Trans. Amer Math. Soc.
, vol.21
, pp. 255-284
-
-
Hardy, G.H.1
-
119
-
-
0004250391
-
-
Cambridge University Press, Cambridge
-
G.H. Hardy, Ramanujan, Cambridge University Press, Cambridge 1940; reprinted by Chelsea, New York, 1978; reprinted by AMS Chelsea, Providence, RI, 1999; Now distributed by The American Mathematical Society, Providence, RI.
-
(1940)
Ramanujan
-
-
Hardy, G.H.1
-
120
-
-
0141709244
-
-
reprinted by Chelsea, New York, 1978
-
G.H. Hardy, Ramanujan, Cambridge University Press, Cambridge 1940; reprinted by Chelsea, New York, 1978; reprinted by AMS Chelsea, Providence, RI, 1999; Now distributed by The American Mathematical Society, Providence, RI.
-
-
-
-
121
-
-
0141485935
-
-
reprinted by AMS Chelsea, Providence, RI, 1999
-
G.H. Hardy, Ramanujan, Cambridge University Press, Cambridge 1940; reprinted by Chelsea, New York, 1978; reprinted by AMS Chelsea, Providence, RI, 1999; Now distributed by The American Mathematical Society, Providence, RI.
-
-
-
-
122
-
-
0141597575
-
-
Now distributed by The American Mathematical Society, Providence, RI
-
G.H. Hardy, Ramanujan, Cambridge University Press, Cambridge 1940; reprinted by Chelsea, New York, 1978; reprinted by AMS Chelsea, Providence, RI, 1999; Now distributed by The American Mathematical Society, Providence, RI.
-
-
-
-
125
-
-
0141709240
-
Über die verwandlung der reihen in kettenbrüche
-
J.B.H. Heilermann, "Über die Verwandlung der Reihen in Kettenbrüche," J. Reine Angew. Math. 33 (1846), 174-188.
-
(1846)
J. Reine Angew. Math.
, vol.33
, pp. 174-188
-
-
Heilermann, J.B.H.1
-
126
-
-
0013199946
-
Enumeration of tilings of diamonds and hexagons with defects
-
26 pp.
-
H. Helfgott and I.M. Gessel, "Enumeration of tilings of diamonds and hexagons with defects," Electron. J. Combin. 6(R16) (1999), 26 pp.
-
(1999)
Electron. J. Combin.
, vol.6
, Issue.R16
-
-
Helfgott, H.1
Gessel, I.M.2
-
129
-
-
0013067742
-
Elementary evaluation of certain convolution sums involving divisor functions
-
(M.A. Bennett, B.C. Berndt, N. Boston, H.G. Diamond, A.J. Hildebrand, and W. Philipp, eds.), A.K. Peters, Natick, MA, to appear
-
J.G. Huard, Z.M. Ou, B.K. Spearman, and K.S. Williams, "Elementary evaluation of certain convolution sums involving divisor functions," in Number Theory for the Millennium (M.A. Bennett, B.C. Berndt, N. Boston, H.G. Diamond, A.J. Hildebrand, and W. Philipp, eds.), Vol. 2, A.K. Peters, Natick, MA, to appear.
-
Number Theory for the Millennium
, vol.2
-
-
Huard, J.G.1
Ou, Z.M.2
Spearman, B.K.3
Williams, K.S.4
-
130
-
-
0002536847
-
Two families of associated Wilson polynomials
-
M.E.H. Ismail, J. Letessier, G. Valent, and J. Wimp, "Two families of associated Wilson polynomials," Canad. J. Math. 42 (1990), 659-695.
-
(1990)
Canad. J. Math.
, vol.42
, pp. 659-695
-
-
Ismail, M.E.H.1
Letessier, J.2
Valent, G.3
Wimp, J.4
-
131
-
-
0141820548
-
Generalized orthogonality and continued fractions
-
M.E.H. Ismail and D.R. Masson, "Generalized orthogonality and continued fractions," J. Approx. Theory 83 (1995), 140.
-
(1995)
J. Approx. Theory
, vol.83
, pp. 140
-
-
Ismail, M.E.H.1
Masson, D.R.2
-
132
-
-
0006839949
-
Some continued fractions related to elliptic functions
-
Columbia, MO, 1998 (B.C. Berndt and F. Gesztesy, eds.) of Contemporary Mathematics, American Mathematical Society, Providence, RI
-
M.E.H. Ismail and D.R. Masson, "Some continued fractions related to elliptic functions," Continued Fractions: From Analytic Number Theory to Constructive Approximation, Columbia, MO, 1998 (B.C. Berndt and F. Gesztesy, eds.), Vol. 236 of Contemporary Mathematics, American Mathematical Society, Providence, RI, 1999, 149-166.
-
(1999)
Continued Fractions: From Analytic Number Theory to Constructive Approximation
, vol.236
, pp. 149-166
-
-
Ismail, M.E.H.1
Masson, D.R.2
-
133
-
-
84907199085
-
The associated Askey-Wilson polynomials
-
M.E.H. Ismail and M. Rahman, "The associated Askey-Wilson polynomials," Trans. Amer Math. Soc. 328 (1991), 201-237.
-
(1991)
Trans. Amer Math. Soc.
, vol.328
, pp. 201-237
-
-
Ismail, M.E.H.1
Rahman, M.2
-
134
-
-
0031519781
-
Classical orthogonal polynomials as moments
-
M.E.H. Ismail and D. Stanton, "Classical orthogonal polynomials as moments," Canad. J. Math. 49 (1997), 520-542.
-
(1997)
Canad. J. Math.
, vol.49
, pp. 520-542
-
-
Ismail, M.E.H.1
Stanton, D.2
-
135
-
-
0003391172
-
More orthogonal polynomials as moments
-
Cambridge, MA, (B.E. Sagan and R.R Stanley, eds.), of Progress in Mathematics, Birkhäuser Boston, Inc., Boston, MA
-
M.E.H. Ismail and D. Stanton, "More orthogonal polynomials as moments," Mathematical Essays in Honor of Gian-Carlo Rota, Cambridge, MA, 1996 (B.E. Sagan and R.R Stanley, eds.), Vol. 161 of Progress in Mathematics, Birkhäuser Boston, Inc., Boston, MA, 1998, pp. 377-396.
-
(1996)
Mathematical Essays in Honor of Gian-Carlo Rota
, vol.161
, pp. 377-396
-
-
Ismail, M.E.H.1
Stanton, D.2
-
136
-
-
0032105170
-
On a family of orthogonal polynomials related to elliptic functions
-
M.E.H. Ismail and G. Valent, "On a family of orthogonal polynomials related to elliptic functions," Illinois J. Math. 42 (1998), 294-312.
-
(1998)
Illinois J. Math.
, vol.42
, pp. 294-312
-
-
Ismail, M.E.H.1
Valent, G.2
-
137
-
-
0035201562
-
Some orthogonal polynomials related to elliptic functions
-
M.E.H. Ismail, G. Valent, and G. Yoon, "Some orthogonal polynomials related to elliptic functions," J. Approx. Theory 112 (2001), 251-278.
-
(2001)
J. Approx. Theory
, vol.112
, pp. 251-278
-
-
Ismail, M.E.H.1
Valent, G.2
Yoon, G.3
-
138
-
-
0003716961
-
-
Regiomonti. Sumptibus fratrum Bornträger
-
C.G.J. Jacobi, "Fundamenta Nova Theoriae Functionum Ellipticarum," Regiomonti. Sumptibus fratrum Bornträger, 1829; reprinted in Jacobi's Gesammelte Werke, Vol. 1, Reimer, Berlin, 1881-1891, pp. 49-239; reprinted by Chelsea, New York, 1969; Now distributed by The American Mathematical Society, Providence, RI.
-
(1829)
Fundamenta Nova Theoriae Functionum Ellipticarum
-
-
Jacobi, C.G.J.1
-
139
-
-
0141485915
-
-
reprinted in, Reimer, Berlin
-
C.G.J. Jacobi, "Fundamenta Nova Theoriae Functionum Ellipticarum," Regiomonti. Sumptibus fratrum Bornträger, 1829; reprinted in Jacobi's Gesammelte Werke, Vol. 1, Reimer, Berlin, 1881-1891, pp. 49-239; reprinted by Chelsea, New York, 1969; Now distributed by The American Mathematical Society, Providence, RI.
-
(1881)
Jacobi's Gesammelte Werke
, vol.1
, pp. 49-239
-
-
-
140
-
-
0141597572
-
-
reprinted by Chelsea, New York, 1969
-
C.G.J. Jacobi, "Fundamenta Nova Theoriae Functionum Ellipticarum," Regiomonti. Sumptibus fratrum Bornträger, 1829; reprinted in Jacobi's Gesammelte Werke, Vol. 1, Reimer, Berlin, 1881-1891, pp. 49-239; reprinted by Chelsea, New York, 1969; Now distributed by The American Mathematical Society, Providence, RI.
-
-
-
-
141
-
-
0141820570
-
-
Now distributed by The American Mathematical Society, Providence, RI
-
C.G.J. Jacobi, "Fundamenta Nova Theoriae Functionum Ellipticarum," Regiomonti. Sumptibus fratrum Bornträger, 1829; reprinted in Jacobi's Gesammelte Werke, Vol. 1, Reimer, Berlin, 1881-1891, pp. 49-239; reprinted by Chelsea, New York, 1969; Now distributed by The American Mathematical Society, Providence, RI.
-
-
-
-
142
-
-
0003805590
-
-
W.H. Freeman and Co., San Francisco, CA
-
N. Jacobson, Basic Algebra I, W.H. Freeman and Co., San Francisco, CA, 1974.
-
(1974)
Basic Algebra I
-
-
Jacobson, N.1
-
143
-
-
0003297104
-
Continued fractions: Analytic theory and applications
-
(G.-C. Rota, ed.), Addison-Wesley, London; Now distributed by Cambridge University Press, Cambridge
-
W.B. Jones and W.J. Thron, "Continued Fractions: Analytic Theory and Applications," in Encyclopedia of Mathematics and Its Applications, Vol. 11 (G.-C. Rota, ed.), Addison-Wesley, London, 1980; Now distributed by Cambridge University Press, Cambridge.
-
(1980)
Encyclopedia of Mathematics and Its Applications
, vol.11
-
-
Jones, W.B.1
Thron, W.J.2
-
144
-
-
0000192792
-
Integrable highest weight modules over affine superalgebras and number theory
-
in honor of Bertram Kostant (J.L. Brylinski, R. Brylinski, V. Guillemin and V. Kac, eds.), of Progress in Mathematics, Birkhäuser Boston, Inc., Boston, MA
-
V.G. Kac and M. Wakimoto, "Integrable highest weight modules over affine superalgebras and number theory," in Lie Theory and Geometry, in honor of Bertram Kostant (J.L. Brylinski, R. Brylinski, V. Guillemin and V. Kac, eds.), Vol. 123 of Progress in Mathematics, Birkhäuser Boston, Inc., Boston, MA, 1994, pp. 415-456.
-
(1994)
Lie Theory and Geometry
, vol.123
, pp. 415-456
-
-
Kac, V.G.1
Wakimoto, M.2
-
145
-
-
0035530552
-
Integrable highest weight modules over affine superalgebras and Appell's function
-
V.G. Kac and M. Wakimoto, "Integrable highest weight modules over affine superalgebras and Appell's function," Comm. Math. Phys. 215 (2001), 631-682.
-
(2001)
Comm. Math. Phys.
, vol.215
, pp. 631-682
-
-
Kac, V.G.1
Wakimoto, M.2
-
146
-
-
51249166169
-
On certain determinants whose elements are orthogonal polynomials
-
S. Karlin and G. Szego″, "On certain determinants whose elements are orthogonal polynomials," J. Analyse Math. 8 (1961), 1-157; reprinted in Gabor Szego″: Collected Papers, Vol. 3 (R. Askey, ed.), Birkhäuser Boston, Inc., Boston, MA, 1982, pp. 603-762.
-
(1961)
J. Analyse Math.
, vol.8
, pp. 1-157
-
-
Karlin, S.1
Szego, G.2
-
147
-
-
0007014118
-
-
reprinted in, (R. Askey, ed.), Birkhäuser Boston, Inc., Boston, MA
-
S. Karlin and G. Szego″, "On certain determinants whose elements are orthogonal polynomials," J. Analyse Math. 8 (1961), 1-157; reprinted in Gabor Szego″: Collected Papers, Vol. 3 (R. Askey, ed.), Birkhäuser Boston, Inc., Boston, MA, 1982, pp. 603-762.
-
(1982)
Gabor Szego″: Collected Papers
, vol.3
, pp. 603-762
-
-
-
148
-
-
0345202279
-
On powers of the theta-function greater than the eighth
-
M.I. Knopp, "On powers of the theta-function greater than the eighth," Acta Arith. 46 (1986), 271 283.
-
(1986)
Acta Arith.
, vol.46
, pp. 271283
-
-
Knopp, M.I.1
-
151
-
-
4243541672
-
Über die anzahl der darstellungen von natülichen zahlen als summe von 4k quadraten
-
E. Krätzel, "Über die Anzahl der Darstellungen von natülichen Zahlen als Summe von 4k Quadraten," Wiss. Z. Friedrich-Schiller Univ. Jena 10 (1960/61), 33-37.
-
(1960)
Wiss. Z. Friedrich-Schiller Univ. Jena
, vol.10
, pp. 33-37
-
-
Krätzel, E.1
-
152
-
-
12644257242
-
Über die anzahl der darstellungen von natürlichen zahlen als summe von 4k + 2 quadraten
-
E. Krätzel, "Über die Anzahl der Darstellungen von natürlichen Zahlen als Summe von 4k + 2 Quadraten," Wiss. Z Friedrich-Schiller Univ. Jena 11 (1962), 115-120.
-
(1962)
Wiss. Z Friedrich-Schiller Univ. Jena
, vol.11
, pp. 115-120
-
-
Krätzel, E.1
-
153
-
-
0141485933
-
On a type of series involving the partition function with applications to certain congruence relations
-
D.B. Lahiri, "On a type of series involving the partition function with applications to certain congruence relations," Bull. Calcutta Math. Soc. 38 (1946), 125-132.
-
(1946)
Bull. Calcutta Math. Soc.
, vol.38
, pp. 125-132
-
-
Lahiri, D.B.1
-
156
-
-
0141485916
-
Identities connecting the partition, divisor and Ramanujan's functions
-
D.B. Lahiri, "Identities connecting the partition, divisor and Ramanujan's functions," Proc. Nat. Inst. Sci. India 34A (1968), 96-103.
-
(1968)
Proc. Nat. Inst. Sci. India
, vol.34 A
, pp. 96-103
-
-
Lahiri, D.B.1
-
157
-
-
84971124001
-
Some arithmetical identities for Ramanujan's and divisor functions
-
D.B. Lahiri, "Some arithmetical identities for Ramanujan's and divisor functions," Bull. Austral. Math. Soc. 1 (1969), 307-314.
-
(1969)
Bull. Austral. Math. Soc.
, vol.1
, pp. 307-314
-
-
Lahiri, D.B.1
-
158
-
-
0141597569
-
Inversion des matrices de hankel
-
A. Lascoux, "Inversion des matrices de Hankel," Linear Algebra Appl. 129 (1990), 77-102.
-
(1990)
Linear Algebra Appl.
, vol.129
, pp. 77-102
-
-
Lascoux, A.1
-
159
-
-
0003670163
-
-
of Applied Mathematical Sciences, Springer Verlag, New York
-
D.F. Lawden, Elliptic Functions and Applications, Vol. 80 of Applied Mathematical Sciences, Springer Verlag, New York, 1989.
-
(1989)
Elliptic Functions and Applications
, vol.80
-
-
Lawden, D.F.1
-
160
-
-
0002298312
-
On identities satisfied by minors of a matrix
-
B. Leclerc, "On identities satisfied by minors of a matrix," Adv. in Math. 100 (1993), 101-132.
-
(1993)
Adv. in Math.
, vol.100
, pp. 101-132
-
-
Leclerc, B.1
-
161
-
-
0141485926
-
Powers of staircase Schur functions and symmetric analogues of Bessel polynomials
-
B. Leclerc, "Powers of staircase Schur functions and symmetric analogues of Bessel polynomials," Discrete Math. 153 (1996), 213-227.
-
(1996)
Discrete Math.
, vol.153
, pp. 213-227
-
-
Leclerc, B.1
-
162
-
-
0141820569
-
-
Private communication, July
-
B. Leclerc, Private communication, July 1997.
-
(1997)
-
-
Leclerc, B.1
-
163
-
-
0141485934
-
On certain formulas of Karlin and Szego″
-
21 pp.
-
B. Leclerc, "On certain formulas of Karlin and Szego″," Séminaire Lotharingien de Combinatoire 41(B41d) (1998), 21 pp.
-
(1998)
Séminaire Lotharingien de Combinatoire
, vol.41
, Issue.B41D
-
-
Leclerc, B.1
-
164
-
-
0141485911
-
-
t. III, Huzard-Courcier, Paris
-
A.M. Legendre, "Traité des Fonctions Elliptiques et des Intégrales Euleriennes," t. III, Huzard-Courcier, Paris, 1828, pp. 133-134.
-
(1828)
Traité des Fonctions Elliptiques et des Intégrales Euleriennes
, pp. 133-134
-
-
Legendre, A.M.1
-
165
-
-
0141820552
-
Some functions of Ramanujan
-
D.H. Lehmer, "Some functions of Ramanujan," Math. Student 27 (1959), 105-116.
-
(1959)
Math. Student
, vol.27
, pp. 105-116
-
-
Lehmer, D.H.1
-
166
-
-
0009062921
-
Generalized Verma modules, loop space cohomology and Macdonald-type identities
-
J. Lepowsky, "Generalized Verma modules, loop space cohomology and Macdonald-type identities," Ann. Sci. École Norm. Sup. 12(4) (1979), 169-234.
-
(1979)
Ann. Sci. École Norm. Sup.
, vol.12
, Issue.4
, pp. 169-234
-
-
Lepowsky, J.1
-
167
-
-
0141485932
-
Affine Lie algebras and combinatorial identities
-
Rutgers Univ. Press., New Brunswick, N.J., of Lecture Notes in Math., Springer Verlag, Berlin
-
J. Lepowsky, "Affine Lie algebras and combinatorial identities," in Lie Algebras and Related Topics, Rutgers Univ. Press., New Brunswick, N.J., 1981, Vol. 933 of Lecture Notes in Math., Springer Verlag, Berlin 1982, pp. 130-156.
-
(1981)
Lie Algebras and Related Topics
, vol.933
, pp. 130-156
-
-
Lepowsky, J.1
-
169
-
-
0042484926
-
Extrait d'une lettre à M. Besge
-
J. Liouville, "Extrait d'une lettre à M. Besge," J. Math. Pures Appl. 9(2) (1864), 296-298.
-
(1864)
J. Math. Pures Appl.
, vol.9
, Issue.2
, pp. 296-298
-
-
Liouville, J.1
-
171
-
-
0141485903
-
On the representation of integers as sums of squares
-
(B.C. Berndt and Ken Ono, eds.), of Contemporary Mathematics, American Mathematical Society, Providence, RI
-
Z.-G. Liu, "On the representation of integers as sums of squares," in q-Series with Applications to Combinatorics, Number Theory, and Physics (B.C. Berndt and Ken Ono, eds.), Vol. 291 of Contemporary Mathematics, American Mathematical Society, Providence, RI, 2001, pp. 163-176.
-
(2001)
q-Series with Applications to Combinatorics, Number Theory, and Physics
, vol.291
, pp. 163-176
-
-
Liu, Z.-G.1
-
172
-
-
0141697152
-
On the representation of numbers by sums of squares
-
in Russian; Georgian summary
-
G.A. Lomadze, "On the representation of numbers by sums of squares," Akad. Nauk Gruzin. SSR Trudy Tbiliss. Mat. Inst. Razmadze 16 (1948), 231-275. (in Russian; Georgian summary).
-
(1948)
Akad. Nauk Gruzin. SSR Trudy Tbiliss. Mat. Inst. Razmadze
, vol.16
, pp. 231-275
-
-
Lomadze, G.A.1
-
174
-
-
0141597570
-
-
North-Holland, Amsterdam
-
L. Lorentzen and H. Waadeland, Continued Fractions With Applications, Vol. 3 of Studies in Computational Mathematics, North-Holland, Amsterdam, 1992.
-
(1992)
Continued Fractions with Applications, Vol. 3 of Studies in Computational Mathematics
, vol.3
-
-
Lorentzen, L.1
Waadeland, H.2
-
175
-
-
0004003805
-
Joseph Liouville 1809-1882: Master of pure and applied mathematics
-
Springer Verlag, New York
-
J. Lützen, "Joseph Liouville 1809-1882: Master of pure and applied mathematics," in Studies in the History of Mathematics and Physical Sciences, Vol. 15, Springer Verlag, New York, 1990.
-
(1990)
Studies in the History of Mathematics and Physical Sciences
, vol.15
-
-
Lützen, J.1
-
176
-
-
34250473707
-
Affine root systems and Dedekind's η-function
-
I.G. Macdonald, "Affine root systems and Dedekind's η-function," Invent. Math. 15 (1972), 91-143.
-
(1972)
Invent. Math.
, vol.15
, pp. 91-143
-
-
Macdonald, I.G.1
-
177
-
-
0001110442
-
Some conjectures for root systems
-
I.G. Macdonald, "Some conjectures for root systems," SIAM J. Math. Anal. 13 (1982), 988-1007.
-
(1982)
SIAM J. Math. Anal.
, vol.13
, pp. 988-1007
-
-
Macdonald, I.G.1
-
179
-
-
0141709246
-
On the representation of a number as a sum of squares
-
G.B. Mathews, "On the representation of a number as a sum of squares," Proc. London Math. Soc. 27 (1895-96), 55-60.
-
(1895)
Proc. London Math. Soc.
, vol.27
, pp. 55-60
-
-
Mathews, G.B.1
-
180
-
-
0004308396
-
-
Cambridge University Press, Cambridge
-
H. McKean and V. Moll, Elliptic Curves: Function Theory, Geometry, Arithmetic, Cambridge University Press, Cambridge, 1997.
-
(1997)
Elliptic Curves: Function Theory, Geometry, Arithmetic
-
-
McKean, H.1
Moll, V.2
-
182
-
-
0141597557
-
Matrix theory: Selected topics and useful results
-
Les Ulis, France, see Appendix A.5 (In India, sold and distributed by Hindustan Publishing Corp.)
-
M.L. Mehta, "Matrix theory: Selected topics and useful results," Les Editions de Physique, Les Ulis, France, 1989; see Appendix A.5 (In India, sold and distributed by Hindustan Publishing Corp.).
-
(1989)
Les Editions de Physique
-
-
Mehta, M.L.1
-
184
-
-
0000212623
-
Basic hypergeometric series very well-poised in U(n)
-
S.C. Milne, "Basic hypergeometric series very well-poised in U(n)," J. Math. Anal. Appl. 122 (1987), 223-256.
-
(1987)
J. Math. Anal. Appl.
, vol.122
, pp. 223-256
-
-
Milne, S.C.1
-
185
-
-
0000585137
-
Classical partition functions and the U(n + 1) Rogers-Selberg identity
-
S.C. Milne, "Classical partition functions and the U(n + 1) Rogers-Selberg identity," Discrete Math. 99 (1992), 199-246.
-
(1992)
Discrete Math.
, vol.99
, pp. 199-246
-
-
Milne, S.C.1
-
186
-
-
0010971418
-
ℓ Rogers-Selberg identity
-
ℓ Rogers-Selberg identity," SIAM J. Math. Anal. 25 (1994), 571-595.
-
(1994)
SIAM J. Math. Anal.
, vol.25
, pp. 571-595
-
-
Milne, S.C.1
-
187
-
-
0030467984
-
New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan's tau function
-
S.C. Milne, "New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan's tau function," Proc. Nat. Acad. Sci., U.S.A. 93 (1996), 15004-15008.
-
(1996)
Proc. Nat. Acad. Sci., U.S.A.
, vol.93
, pp. 15004-15008
-
-
Milne, S.C.1
-
188
-
-
0031572791
-
2 summation theorems for U(n) basic hypergeometric series
-
2 summation theorems for U(n) basic hypergeometric series," Adv. in Math. 131 (1997), 93-187.
-
(1997)
Adv. in Math.
, vol.131
, pp. 93-187
-
-
Milne, S.C.1
-
189
-
-
0141709241
-
Hankel determinants of Eisenstein series
-
Gainesville, (F.G. Garvan and M. Ismail, eds.), of Dev. Math., Kluwer Academic Publishers, Dordrecht
-
S.C. Milne, "Hankel determinants of Eisenstein series," in Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics, Gainesville, 1999 (F.G. Garvan and M. Ismail, eds.), Vol. 4 of Dev. Math., Kluwer Academic Publishers, Dordrecht, 2001, pp. 171-188.
-
(1999)
Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics
, vol.4
, pp. 171-188
-
-
Milne, S.C.1
-
194
-
-
0001132088
-
ℓ Bailey transform and Bailey lemma
-
ℓ Bailey transform and Bailey lemma" Discrete Math. 139 (1995), 319-346.
-
(1995)
Discrete Math.
, vol.139
, pp. 319-346
-
-
Milne, S.C.1
Lilly, G.M.2
-
195
-
-
0039711077
-
On the expansion of the Weierstrassian and Jacobian elliptic functions in powers of the argument
-
S.C. Mitra, "On the expansion of the Weierstrassian and Jacobian elliptic functions in powers of the argument," Bull. Calcutta Math. Soc. 17 (1926), 159-172.
-
(1926)
Bull. Calcutta Math. Soc.
, vol.17
, pp. 159-172
-
-
Mitra, S.C.1
-
196
-
-
0006351861
-
On Mr. Ramanujan's empirical expansions of modular functions
-
L.J. Mordell, "On Mr. Ramanujan's empirical expansions of modular functions"," Proc. Cambridge Philos. Soc. 19 (1917), 117-124.
-
(1917)
Proc. Cambridge Philos. Soc.
, vol.19
, pp. 117-124
-
-
Mordell, L.J.1
-
197
-
-
0039584472
-
On the representation of numbers as the sum of 2r squares
-
L.J. Mordell, "On the representation of numbers as the sum of 2r squares," Quart. J. Pure and Appl. Math. Oxford 48 (1917), 93-104.
-
(1917)
Quart. J. Pure and Appl. Math. Oxford
, vol.48
, pp. 93-104
-
-
Mordell, L.J.1
-
198
-
-
0141820554
-
On the representations of a number as a sum of an odd number of squares
-
L.J. Mordell, "On the representations of a number as a sum of an odd number of squares," Trans. Cambridge Philos. Soc. 22 (1919), 361-372.
-
(1919)
Trans. Cambridge Philos. Soc.
, vol.22
, pp. 361-372
-
-
Mordell, L.J.1
-
199
-
-
0141709247
-
New general formulae for the transformation of infinite series into continued fractions
-
see Part IV. 1875-76
-
T Muir, "New general formulae for the transformation of infinite series into continued fractions," Trans. Roy. Soc. Edinburgh 27 (1872-1876; see Part IV. 1875-76), 467-471.
-
(1872)
Trans. Roy. Soc. Edinburgh
, vol.27
, pp. 467-471
-
-
Muir, T.1
-
200
-
-
33645299591
-
On the transformation of Gauss' hypergeometric series into a continued function
-
T. Muir, "On the transformation of Gauss' hypergeometric series into a continued function," Proc. London Math. Soc. 7 (1876), 112-119.
-
(1876)
Proc. London Math. Soc.
, vol.7
, pp. 112-119
-
-
Muir, T.1
-
201
-
-
0141820555
-
On Eisenstein's continued fractions
-
see Part I. 1876-1877
-
T Muir, "On Eisenstein's continued fractions," Trans. Roy. Soc. Edinburgh 28 (1876-1878; see Part I. 1876-1877), 135-143.
-
(1876)
Trans. Roy. Soc. Edinburgh
, vol.28
, pp. 135-143
-
-
Muir, T.1
-
202
-
-
0004182691
-
-
Vol. II (1911), Vol. III (1920), Macmillan and Co., Ltd., London
-
T. Muir, The Theory of Determinants in the Historical Order of Development, Vol. I (1906), Vol. II (1911), Vol. III (1920), Vol. IV (1923), Macmillan and Co., Ltd., London.
-
(1906)
The Theory of Determinants in the Historical Order of Development
, vol.1-4
-
-
Muir, T.1
-
203
-
-
0141709250
-
The theory of persymmetric determinants in the historical order of development up to 1860
-
T. Muir, "The theory of persymmetric determinants in the historical order of development up to 1860," Proc. Roy. Soc. Edinburgh 30 (1910), 407-431.
-
(1910)
Proc. Roy. Soc. Edinburgh
, vol.30
, pp. 407-431
-
-
Muir, T.1
-
204
-
-
0141709258
-
The theory of persymmetric determinants from 1894 to 1919
-
T Muir, "The theory of persymmetric determinants from 1894 to 1919," Proc. Roy. Soc. Edinburgh 47 (1926-27), 11-33.
-
(1926)
Proc. Roy. Soc. Edinburgh
, vol.47
, pp. 11-33
-
-
Muir, T.1
-
207
-
-
0042620276
-
-
Graduate Texts in Mathematics, Springer Verlag, New York
-
M.B. Nathanson, Elementary Methods in Number Theory, Vol. 195 of Graduate Texts in Mathematics, Springer Verlag, New York, 2000.
-
(2000)
Elementary Methods in Number Theory
, vol.195
-
-
Nathanson, M.B.1
-
208
-
-
0036695920
-
Representations of integers as sums of squares
-
to appear
-
K. Ono, "Representations of integers as sums of squares," J. Number Theory, to appear.
-
J. Number Theory
-
-
Ono, K.1
-
209
-
-
0141820556
-
On the representation of integers as sums of triangular numbers
-
K. Ono, S. Robins, and P.T. Wahl, "On the representation of integers as sums of triangular numbers," Aequationes Math. 50 (1995), 73-94.
-
(1995)
Aequationes Math.
, vol.50
, pp. 73-94
-
-
Ono, K.1
Robins, S.2
Wahl, P.T.3
-
210
-
-
0003902410
-
-
B.G. Teubner, Leipzig and Berlin; reprinted by Chelsea, New York, 1950
-
O. Perron, Die Lehre von den Kettenbrülchen, 2nd edn., B.G. Teubner, Leipzig and Berlin, 1929; reprinted by Chelsea, New York, 1950.
-
(1929)
Die Lehre von den Kettenbrülchen, 2nd Edn.
-
-
Perron, O.1
-
211
-
-
0141597567
-
Über die anzahl der darstellungen einer zahl als summe von zehn und zwölf quadraten
-
Von K. Petr, "Über die Anzahl der Darstellungen einer Zahl als Summe von zehn und zwölf Quadraten," Archiv Math. Phys. 11(3) (1907), 83-85.
-
(1907)
Archiv Math. Phys.
, vol.11
, Issue.3
, pp. 83-85
-
-
Von Petr, K.1
-
212
-
-
0141597558
-
The representation of numbers as sums of eight, sixteen and twenty four squares
-
B. van der Pol, "The representation of numbers as sums of eight, sixteen and twenty four squares," Nederl. Akad. Wetensch. Proc. Ser A 57 (1954), 349-361; Nederl. Akad. Wetensch. Indag. Math. 16 (1954), 349-361.
-
(1954)
Nederl. Akad. Wetensch. Proc. Ser A
, vol.57
, pp. 349-361
-
-
Van der Pol, B.1
-
213
-
-
0141597558
-
-
B. van der Pol, "The representation of numbers as sums of eight, sixteen and twenty four squares," Nederl. Akad. Wetensch. Proc. Ser A 57 (1954), 349-361; Nederl. Akad. Wetensch. Indag. Math. 16 (1954), 349-361.
-
(1954)
Nederl. Akad. Wetensch. Indag. Math.
, vol.16
, pp. 349-361
-
-
-
215
-
-
0003805246
-
-
Grundlehren Math. Wiss., Springer Verlag, New York
-
H. Rademacher, Topics in Analytic Number Theory, Vol. 169 of Grundlehren Math. Wiss., Springer Verlag, New York, 1973.
-
(1973)
Topics in Analytic Number Theory
, vol.169
-
-
Rademacher, H.1
-
216
-
-
0003006090
-
Calcul effectif de certains déterminants de Hankel
-
Ch. Radoux, "Calcul effectif de certains déterminants de Hankel," Bull. Soc. Math. Belg. Sér B 31 (1979), 49-55.
-
(1979)
Bull. Soc. Math. Belg. Sér B
, vol.31
, pp. 49-55
-
-
Radoux, Ch.1
-
217
-
-
0007018606
-
Déterminant de hankel construit surles polynômes de hérmite
-
Ch. Radoux, "Déterminant de Hankel construit surles polynômes de Hérmite," Ann. Soc. Sci. Bruxelles Sér. I 104 (1990), 59-61.
-
(1990)
Ann. Soc. Sci. Bruxelles Sér. I
, vol.104
, pp. 59-61
-
-
Radoux, Ch.1
-
218
-
-
0002076825
-
Déterminant de Hankel construit sur des polynômes liés aux nombres de dérangements
-
Ch. Radoux, "Déterminant de Hankel construit sur des polynômes liés aux nombres de dérangements," European J. Combin. 12 (1991), 327-329.
-
(1991)
European J. Combin.
, vol.12
, pp. 327-329
-
-
Radoux, Ch.1
-
219
-
-
0002078604
-
-
Actes de la 28e session du S¢minaire Lotharingien de Combinatoire, publication de 1'I.R.M.A. No. 498/S-28, Strasbourg
-
Ch. Radoux, "Déterminants de Hankel et théorè me de Sylvester," Actes de la 28e session du S¢minaire Lotharingien de Combinatoire, publication de 1'I.R.M.A. No. 498/S-28, Strasbourg, 1992, pp. 115-122.
-
(1992)
Déterminants de Hankel et Théorème de Sylvester
, pp. 115-122
-
-
Radoux, Ch.1
-
220
-
-
0001504481
-
On certain arithmetical functions
-
S. Ramanujan, "On certain arithmetical functions," Trans. Cambridge Philos. Soc. 22 (1916), 159-184; reprinted in Collected Papers of Srinivasa Ramanujan, Chelsea, New York, 1962, pp. 136-162; reprinted by AMS Chelsea, Providence, RI, 2000; Now distributed by The American Mathematical Society, Providence, RI.
-
(1916)
Trans. Cambridge Philos. Soc.
, vol.22
, pp. 159-184
-
-
Ramanujan, S.1
-
221
-
-
0004177815
-
-
Chelsea, New York; reprinted by AMS Chelsea, Providence, RI, 2000; Now distributed by The American Mathematical Society, Providence, RI
-
S. Ramanujan, "On certain arithmetical functions," Trans. Cambridge Philos. Soc. 22 (1916), 159-184; reprinted in Collected Papers of Srinivasa Ramanujan, Chelsea, New York, 1962, pp. 136-162; reprinted by AMS Chelsea, Providence, RI, 2000; Now distributed by The American Mathematical Society, Providence, RI.
-
(1962)
Collected Papers of Srinivasa Ramanujan
, pp. 136-162
-
-
-
223
-
-
0141820567
-
-
Ph.D. Thesis, Univ. Louis Pasteur, Strasbourg, France
-
A. Randrianarivony, "Fractions continues, combinatoire et extensions de nombres classiques," Ph.D. Thesis, Univ. Louis Pasteur, Strasbourg, France, 1994.
-
(1994)
Fractions Continues, Combinatoire et Extensions de Nombres Classiques
-
-
Randrianarivony, A.1
-
224
-
-
0031537656
-
Fractions continues, q-nombres de Catalan et q-polynômes de Genocchi
-
A. Randrianarivony, "Fractions continues, q-nombres de Catalan et q-polynômes de Genocchi" European J. Combin. 18 (1997), 75-92.
-
(1997)
European J. Combin.
, vol.18
, pp. 75-92
-
-
Randrianarivony, A.1
-
225
-
-
0041355804
-
q, p-analogue des nombres de Catalan
-
A. Randrianarivony, "q, p-analogue des nombres de Catalan," Discrete Math. 178 (1998), 199-211.
-
(1998)
Discrete Math.
, vol.178
, pp. 199-211
-
-
Randrianarivony, A.1
-
226
-
-
0141485918
-
Extension of Euler numbers and records of up-down permutations
-
A. Randrianarivony and J.A. Zeng, "Extension of Euler numbers and records of up-down permutations," J. Combin. Theory Ser A 68 (1994), 86-99.
-
(1994)
J. Combin. Theory Ser. A
, vol.68
, pp. 86-99
-
-
Randrianarivony, A.1
Zeng, J.A.2
-
227
-
-
0030098309
-
A family of polynomials interpolating several classical series of numbers
-
A. Randrianarivony and J. Zeng, "A family of polynomials interpolating several classical series of numbers," Adv. in Appl. Math. 17 (1996), 1-26.
-
(1996)
Adv. in Appl. Math.
, vol.17
, pp. 1-26
-
-
Randrianarivony, A.1
Zeng, J.2
-
228
-
-
0141709256
-
On the representations of a number as a sum of squares and certain related identities
-
R.A. Rankin, "On the representations of a number as a sum of squares and certain related identities," Proc. Cambridge Philos. Soc. 41 (1945), 1-11.
-
(1945)
Proc. Cambridge Philos. Soc.
, vol.41
, pp. 1-11
-
-
Rankin, R.A.1
-
229
-
-
0141485917
-
On the representation of a number as the sum of any number of squares, and in particular of twenty
-
R.A. Rankin, n, "On the representation of a number as the sum of any number of squares, and in particular of twenty," Acta Arith. 7 (1962), 399-407.
-
(1962)
Acta Arith.
, vol.7
, pp. 399-407
-
-
Rankin, R.A.1
-
230
-
-
0010566189
-
Sums of squares and cusp forms
-
R.A. Rankin, "Sums of squares and cusp forms," Amer J. Math. 87 (1965), 857-860.
-
(1965)
Amer J. Math.
, vol.87
, pp. 857-860
-
-
Rankin, R.A.1
-
233
-
-
0141485921
-
Solution to problem 10387*
-
D.P. Robbins, "Solution to problem 10387*," Amer Math. Monthly 104 (1997), 366-367.
-
(1997)
Amer Math. Monthly
, vol.104
, pp. 366-367
-
-
Robbins, D.P.1
-
234
-
-
84960602545
-
On the representation of certain asymptotic series as convergent continued fractions
-
L.J. Rogers, "On the representation of certain asymptotic series as convergent continued fractions," Proc. London Math. Soc 4(2) (1907), 72-89.
-
(1907)
Proc. London Math. Soc.
, vol.4
, Issue.2
, pp. 72-89
-
-
Rogers, L.J.1
-
235
-
-
84966215938
-
Properties of the Taylor series expansion coefficients of the Jacobian elliptic functions
-
with microfiche supplement
-
A. Schett, "Properties of the Taylor series expansion coefficients of the Jacobian elliptic functions," Math. Comp. 30 (1976), 143-147, with microfiche supplement (See also: "Corrigendum," Math. Comp. 31 (1977), 330).
-
(1976)
Math. Comp.
, vol.30
, pp. 143-147
-
-
Schett, A.1
-
236
-
-
84966252014
-
Corrigendum
-
A. Schett, "Properties of the Taylor series expansion coefficients of the Jacobian elliptic functions," Math. Comp. 30 (1976), 143-147, with microfiche supplement (See also: "Corrigendum," Math. Comp. 31 (1977), 330).
-
(1977)
Math. Comp.
, vol.31
, pp. 330
-
-
-
237
-
-
0141820553
-
Recurrence formula of the Taylor series expansion coefficients of the Jacobian elliptic functions
-
with microfiche supplement
-
A. Schett, "Recurrence formula of the Taylor series expansion coefficients of the Jacobian elliptic functions,'" Math. Comp. 31 (1977), 1003-1005, with microfiche supplement.
-
(1977)
Math. Comp.
, vol.31
, pp. 1003-1005
-
-
Schett, A.1
-
238
-
-
0141485920
-
Note on a persymmetric determinant
-
W. Seidel, "Note on a persymmetric determinant. Quart. J. Math., Oxford Ser. 4(2) (1953), 150-151.
-
(1953)
Quart. J. Math., Oxford Ser.
, vol.4
, Issue.2
, pp. 150-151
-
-
Seidel, W.1
-
239
-
-
0003583758
-
-
Graduate Texts in Mathematics, Springer Verlag, New York
-
J.P. Serre, A Course in Arithmetic, Vol. 7 of Graduate Texts in Mathematics, Springer Verlag, New York, 1973.
-
(1973)
A Course Arithmetic
, vol.7
-
-
Serre, J.P.1
-
240
-
-
0141485919
-
Wzór analityczny na pewna funkcje liczbowa (Une formule analytique pour une fonction numérique)
-
in Polish
-
W. Sierpinski, "Wzór analityczny na pewna funkcje liczbowa (Une formule analytique pour une fonction numérique)," Wiadomości Matematyczne Warszawa 11 (1907), 225-231 (in Polish).
-
(1907)
Wiadomości Matematyczne Warszawa
, vol.11
, pp. 225-231
-
-
Sierpinski, W.1
-
241
-
-
0011324742
-
-
Report of the British Association
-
H.J.S. Smith, Report on the Theory of Numbers, Part VI (Report of the British Association for 1865, pp. 322-375), 1894; reprinted in The Collected Mathematical Papers of H.J.S. Smith, Vol. 1 (J.W.L. Glaisher, ed.), 1894, pp. 306-311; reprinted by Chelsea, New York, 1965.
-
(1865)
Report on the Theory of Numbers
, Issue.PART VI
, pp. 322-375
-
-
Smith, H.J.S.1
-
242
-
-
0141820564
-
-
J.W.L. Glaisher, ed.; reprinted by Chelsea, New York, 1965
-
H.J.S. Smith, Report on the Theory of Numbers, Part VI (Report of the British Association for 1865, pp. 322 375), 1894; reprinted in The Collected Mathematical Papers of H.J.S. Smith, Vol. 1 (J.W.L. Glaisher, ed.), 1894, pp. 306-311; reprinted by Chelsea, New York, 1965.
-
(1894)
The Collected Mathematical Papers of H.J.S. Smith
, vol.1
, pp. 306-311
-
-
-
243
-
-
0011676867
-
On the orders and genera of quadratic forms containing more than 3 indeterminates
-
H.J.S. Smith, "On the orders and genera of quadratic forms containing more than 3 indeterminates," Proc. Roy. Soc. London 16 (1867), 197-208; reprinted in The Collected Mathematical Papers of H.J.S. Smith, Vol. 1 (J.W.L. Glaisher, ed.), 1894, pp. 510-523; reprinted by Chelsea, New York, 1965.
-
(1867)
Proc. Roy. Soc. London
, vol.16
, pp. 197-208
-
-
Smith, H.J.S.1
-
244
-
-
0141709257
-
-
reprinted, (J.W.L. Glaisher, ed.); reprinted by Chelsea, New York, 1965
-
H.J.S. Smith, "On the orders and genera of quadratic forms containing more than 3 indeterminates," Proc. Roy. Soc. London 16 (1867), 197-208; reprinted in The Collected Mathematical Papers of H.J.S. Smith, Vol. 1 (J.W.L. Glaisher, ed.), 1894, pp. 510-523; reprinted by Chelsea, New York, 1965.
-
(1894)
The Collected Mathematical Papers of H.J.S. Smith
, vol.1
, pp. 510-523
-
-
-
245
-
-
0003652674
-
-
Wadsworth & Brooks Cole, Belmont, CA
-
R.P. Stanley, Enumerative Combinatorics, Vol. I, Wadsworth & Brooks Cole, Belmont, CA, 1986.
-
(1986)
Enumerative Combinatorics
, vol.1
-
-
Stanley, R.P.1
-
246
-
-
84942493614
-
Theorie der kettenbrüche und ihre anwendung
-
M.A. Stern, "Theorie der Kettenbrüche und ihre Anwendung, " J. Reine Angew. Math. 10 (1833), 122, 154-166, 241-274, 364-376.
-
(1833)
J. Reine Angew. Math.
, vol.10
, pp. 122
-
-
Stern, M.A.1
-
247
-
-
0141485929
-
Theorie der kettenbrüche und ihre anwendung
-
M.A. Stern, "Theorie der Kettenbrüche und ihre Anwendung, " J. Reine Angew. Math. 11 (1834), 33-66, 142-168, 277-306, 311-350.
-
(1834)
J. Reine Angew. Math.
, vol.11
, pp. 33-66
-
-
Stern, M.A.1
-
248
-
-
0042435452
-
Sur réduction en fraction continue d'une série procédant suivant les puissances descendantes d' une variable
-
T.J. Stieltjes, "Sur réduction en fraction continue d'une série procédant suivant les puissances descendantes d' une variable," Ann. Fac. Sci. Toulouse 3 (1889), H. 1-17; reprinted in (Euvres Complètes T2, P. Noofdhoff, Groningen, 1918, pp. 184-200; see also (Euvres Complètes (Collected Papers), Vol. II (G. van Dijk, ed.), Springer Verlag, Berlin, 1993, pp. 188-204.
-
(1889)
Ann. Fac. Sci. Toulouse
, vol.3
-
-
Stieltjes, T.J.1
-
249
-
-
0141709254
-
-
reprinted; P. Noofdhoff, Groningen
-
T.J. Stieltjes, "Sur réduction en fraction continue d'une série procédant suivant les puissances descendantes d' une variable," Ann. Fac. Sci. Toulouse 3 (1889), H. 1-17; reprinted in (Euvres Complètes T2, P. Noofdhoff, Groningen, 1918, pp. 184-200; see also (Euvres Complètes (Collected Papers), Vol. II (G. van Dijk, ed.), Springer Verlag, Berlin, 1993, pp. 188-204.
-
(1918)
Euvres Complètes
, vol.T2
, pp. 184-200
-
-
-
250
-
-
0141709255
-
-
(G. van Dijk, ed.), Springer Verlag, Berlin
-
T.J. Stieltjes, "Sur réduction en fraction continue d'une série procédant suivant les puissances descendantes d' une variable," Ann. Fac. Sci. Toulouse 3 (1889), H. 1-17; reprinted in (Euvres Complètes T2, P. Noofdhoff, Groningen, 1918, pp. 184-200; see also (Euvres Complètes (Collected Papers), Vol. II (G. van Dijk, ed.), Springer Verlag, Berlin, 1993, pp. 188-204.
-
(1993)
Euvres Complètes (Collected Papers)
, vol.2
, pp. 188-204
-
-
-
251
-
-
0005424063
-
Sur quelques intégrales définies et leur développement en fractions continues
-
TJ. Stieltjes, "Sur quelques intégrales définies et leur développement en fractions continues," Quart. J. Math. 24 (1890), 370-382; reprinted in (Euvres Complètes T2, P. Noordhoff, Groningen, 1918, pp. 378-391; see also (Euvres Complètes (Collected Papers), Vol. II (G. van Dijk, ed.), Springer Verlag, Berlin, 1993, pp. 382-395.
-
(1890)
Quart. J. Math.
, vol.24
, pp. 370-382
-
-
Stieltjes, T.J.1
-
252
-
-
0141485925
-
-
reprinted, P. Noordhoff, Groningen
-
TJ. Stieltjes, "Sur quelques intégrales définies et leur développement en fractions continues," Quart. J. Math. 24 (1890), 370-382; reprinted in (Euvres Complètes T2, P. Noordhoff, Groningen, 1918, pp. 378-391; see also (Euvres Complètes (Collected Papers), Vol. II (G. van Dijk, ed.), Springer Verlag, Berlin, 1993, pp. 382-395.
-
(1918)
Euvres Complètes
, vol.T2
, pp. 378-391
-
-
-
253
-
-
0141597562
-
-
(G. van Dijk, ed.), Springer Verlag, Berlin
-
TJ. Stieltjes, "Sur quelques intégrales définies et leur développement en fractions continues," Quart. J. Math. 24 (1890), 370-382; reprinted in (Euvres Complètes T2, P. Noordhoff, Groningen, 1918, pp. 378-391; see also (Euvres Complètes (Collected Papers), Vol. II (G. van Dijk, ed.), Springer Verlag, Berlin, 1993, pp. 382-395.
-
(1993)
Euvres Complètes (Collected Papers)
, vol.2
, pp. 382-395
-
-
-
254
-
-
0002593008
-
Recherches sur les fractions continues
-
TJ. Stieltjes, "Recherches sur les fractions continues," Ann. Fac. Sci. Toulouse 8 (1894), J. 1-122, 9 (1895), A. 1-47; reprinted in (Euvres Complètes T2, P. Noordhoff, Groningen, 1918, pp. 402-566; (see pp. 549-554); see also (Euvres Complètes (Collected Papers), Vol. II (G. van Dijk, ed.), Springer Verlag, Berlin, 1993, pp. 406-570 (see also pp. 609-745 for an English translation. Note especially pp. 728-733).
-
(1894)
Ann. Fac. Sci. Toulouse
, vol.8-9
-
-
Stieltjes, T.J.1
-
255
-
-
0001421483
-
-
reprinted, P. Noordhoff, Groningen; see pp. 549-554
-
TJ. Stieltjes, "Recherches sur les fractions continues," Ann. Fac. Sci. Toulouse 8 (1894), J. 1-122, 9 (1895), A. 1-47; reprinted in (Euvres Complètes T2, P. Noordhoff, Groningen, 1918, pp. 402-566; (see pp. 549-554); see also (Euvres Complètes (Collected Papers), Vol. II (G. van Dijk, ed.), Springer Verlag, Berlin, 1993, pp. 406-570 (see also pp. 609-745 for an English translation. Note especially pp. 728-733).
-
(1918)
Euvres Complètes
, vol.T2
, pp. 402-566
-
-
-
256
-
-
0141485931
-
-
(G. van Dijk, ed.), Springer Verlag, Berlin; see also pp. 609-745 for an English translation. Note especially pp. 728-733
-
TJ. Stieltjes, "Recherches sur les fractions continues," Ann. Fac. Sci. Toulouse 8 (1894), J. 1-122, 9 (1895), A. 1-47; reprinted in (Euvres Complètes T2, P. Noordhoff, Groningen, 1918, pp. 402-566; (see pp. 549-554); see also (Euvres Complètes (Collected Papers), Vol. II (G. van Dijk, ed.), Springer Verlag, Berlin, 1993, pp. 406-570 (see also pp. 609-745 for an English translation. Note especially pp. 728-733).
-
(1993)
Euvres Complètes (Collected Papers)
, vol.2
, pp. 406-570
-
-
-
257
-
-
4243335140
-
Über hermitesche formen mit rekurrierender determinante und über rationale polynome
-
O. Szász, "Über Hermitesche Formen mit rekurrierender Determinante und über rationale Polynome," Math. Z. 11 (1921), 24-57.
-
(1921)
Math. Z.
, vol.11
, pp. 24-57
-
-
Szász, O.1
-
258
-
-
0002390633
-
On an inequality of Turán concerning Legendre polynomials
-
G. Szeg″, "On an inequality of Turán concerning Legendre polynomials," Bull. Amer Math. Soc. 54 (1948), 401-405; reprinted in Gabor Szego″: Collected Papers, Vol. 3, 1945-1972 (R. Askey, ed.), Birkhäuser Boston, Inc., Boston, MA, 1982, pp. 69-73, 74-75.
-
(1948)
Bull. Amer Math. Soc.
, vol.54
, pp. 401-405
-
-
Szeg, G.1
-
259
-
-
0002390633
-
-
reprinted, 1945-1972 (R. Askey, ed.), Birkhäuser Boston, Inc., Boston, MA
-
G. Szeg″, "On an inequality of Turán concerning Legendre polynomials," Bull. Amer Math. Soc. 54 (1948), 401-405; reprinted in Gabor Szego″: Collected Papers, Vol. 3, 1945-1972 (R. Askey, ed.), Birkhäuser Boston, Inc., Boston, MA, 1982, pp. 69-73, 74-75.
-
(1982)
Gabor Szego″: Collected Papers
, vol.3
, pp. 69-73
-
-
-
260
-
-
0141820563
-
Sums of squares
-
O. Taussky, "Sums of squares," Amer Math. Monthly 77 (1970), 805-830.
-
(1970)
Amer Math. Monthly
, vol.77
, pp. 805-830
-
-
Taussky, O.1
-
261
-
-
0002216531
-
Sur un probléme de configurations et sur les fractions continues
-
J. Touchard, "Sur un probléme de configurations et sur les fractions continues," Canad. J. Math. 4 (1952), 2-25.
-
(1952)
Canad. J. Math.
, vol.4
, pp. 2-25
-
-
Touchard, J.1
-
262
-
-
0002599532
-
On the zeros of the polynomials of Legendre
-
P Turán, "On the zeros of the polynomials of Legendre," Časopis pro Pěstováni Matematiky a Fysiky 75 (1950), 113-122.
-
(1950)
Časopis pro Pěstováni Matematiky a Fysiky
, vol.75
, pp. 113-122
-
-
Turán, P.1
-
263
-
-
0003766273
-
-
Blackie and Son, London; reprinted by Dover Publications, New York
-
H.W. Turnbull, The Theory of Determinants, Matrices and Invariants, Blackie and Son, London, 1928; reprinted by Dover Publications, New York, 1960.
-
(1928)
The Theory of Determinants, Matrices and Invariants
-
-
Turnbull, H.W.1
-
266
-
-
0141485922
-
On Jacobi's arithmetical theorems concerning the simultaneous representation of numbers by two different quadratic forms
-
J.V. Uspensky, "On Jacobi's arithmetical theorems concerning the simultaneous representation of numbers by two different quadratic forms," Trans. Amer Math. Soc. 30 (1928), 385-404.
-
(1928)
Trans. Amer Math. Soc.
, vol.30
, pp. 385-404
-
-
Uspensky, J.V.1
-
268
-
-
21344485283
-
Asymptotic analysis of some associated orthogonal polynomials connected with elliptic functions
-
G. Valent, "Asymptotic analysis of some associated orthogonal polynomials connected with elliptic functions," SIAM J. Math. Anal. 25 (1994), 749-775.
-
(1994)
SIAM J. Math. Anal.
, vol.25
, pp. 749-775
-
-
Valent, G.1
-
269
-
-
0006761187
-
Associated Stieltjes-Carlitz polynomials and a generalization of Heun's differential equation
-
G. Valent, "Associated Stieltjes-Carlitz polynomials and a generalization of Heun's differential equation," J. Comput. Appl. Math. 57 (1995), 293-307.
-
(1995)
J. Comput. Appl. Math.
, vol.57
, pp. 293-307
-
-
Valent, G.1
-
270
-
-
0003807917
-
The impact of Stieltjes' work on continued fractions and orthogonal polynomials: Additional material
-
this volume was devoted to the Proceedings of the International Conference on Orthogonality, Moment Problems and Continued Fractions (Delft, 1994)
-
G. Valent and W. Van Assche, "The impact of Stieltjes' work on continued fractions and orthogonal polynomials: Additional material," J. Comput. Appl. Math. 65 (1995), 419-447; this volume was devoted to the Proceedings of the International Conference on Orthogonality, Moment Problems and Continued Fractions (Delft, 1994).
-
(1995)
J. Comput. Appl. Math.
, vol.65
, pp. 419-447
-
-
Valent, G.1
Van Assche, W.2
-
271
-
-
0001265332
-
Asymptotics for orthogonal polynomials and three-term recurrences
-
(P. Nevai, ed.), of NATO-ASI Series C: Mathematical and Physical Sciences, Kluwer Academic Publishers, Dordrecht
-
W. Van Assche, "Asymptotics for orthogonal polynomials and three-term recurrences," in Orthogonal Polynomials. Theory and Practice (P. Nevai, ed.), Vol. 294 of NATO-ASI Series C: Mathematical and Physical Sciences, Kluwer Academic Publishers, Dordrecht, 1990, pp. 435-462.
-
(1990)
Orthogonal Polynomials. Theory and Practice
, vol.294
, pp. 435-462
-
-
Van Assche, W.1
-
272
-
-
4243635305
-
The impact of Stieltjes work on continued fractions and orthogonal polynomials
-
(G. van Dijk, ed.), Springer Verlag, Berlin
-
W. Van Assche, "The impact of Stieltjes work on continued fractions and orthogonal polynomials, Vol. I of T.J. Stieltjes: (Euvres Complètes (Collected Papers) (G. van Dijk, ed.), Springer Verlag, Berlin, 1993, pp. 5-37.
-
(1993)
T.J. Stieltjes: (Euvres Complètes (Collected Papers)
, pp. 5-37
-
-
Van Assche, W.1
-
273
-
-
0141820559
-
Persymmetric determinants. I. The derivatives of determinants with Appell function elements
-
P.R. Vein, "Persymmetric determinants. I. The derivatives of determinants with Appell function elements," Linear and Multilinear Algebra 11 (1982), 253-265.
-
(1982)
Linear and Multilinear Algebra
, vol.11
, pp. 253-265
-
-
Vein, P.R.1
-
274
-
-
0141820558
-
Persymmetric determinants. II. Families of distinct submatrices with nondistinct determinants
-
P.R. Vein, "Persymmetric determinants. II. Families of distinct submatrices with nondistinct determinants," Linear and Multilinear Algebra 11 (1982), 267-276.
-
(1982)
Linear and Multilinear Algebra
, vol.11
, pp. 267-276
-
-
Vein, P.R.1
-
275
-
-
0141709245
-
Persymmetric determinants. III. A basic determinant
-
P.R. Vein, "Persymmetric determinants. III. A basic determinant," Linear and Multilinear Algebra 11 (1982), 305-315.
-
(1982)
Linear and Multilinear Algebra
, vol.11
, pp. 305-315
-
-
Vein, P.R.1
-
276
-
-
0141485923
-
Persymmetric determinants. IV. An alternative form of the Yamazaki-Hori determinantal solution of the Ernst equation
-
RR. Vein, "Persymmetric determinants. IV. An alternative form of the Yamazaki-Hori determinantal solution of the Ernst equation," Linear and Multilinear Algebra 12 (1982/83), 329-339.
-
(1982)
Linear and Multilinear Algebra
, vol.12
, pp. 329-339
-
-
Vein, R.R.1
-
277
-
-
0141597556
-
Persymmetric determinants. V. Families of overlapping coaxial equivalent determinants
-
RR. Vein, "Persymmetric determinants. V. Families of overlapping coaxial equivalent determinants," Linear and Multilinear Algebra 14 (1983), 131-141.
-
(1983)
Linear and Multilinear Algebra
, vol.14
, pp. 131-141
-
-
Vein, R.R.1
-
278
-
-
0141485909
-
Determinants, their derivatives and nonlinear differential equations
-
P.R. Vein and P. Dale, "Determinants, their derivatives and nonlinear differential equations," J. Math. Anal. Appl. 74 (1980), 599-634.
-
(1980)
J. Math. Anal. Appl.
, vol.74
, pp. 599-634
-
-
Vein, P.R.1
Dale, P.2
-
279
-
-
0004274911
-
-
Wolten-Noofdhoff Publishing, Groningen; translated from the Russian and edited by Helen Alderson (Popova)
-
B.A. Venkov, Elementary Number Theory, Wolten-Noofdhoff Publishing, Groningen, 1970; translated from the Russian and edited by Helen Alderson (Popova).
-
(1970)
Elementary Number Theory
-
-
Venkov, B.A.1
-
280
-
-
84972550158
-
Hankel determinants formed from successive derivatives
-
R. Vermes, "Hankel determinants formed from successive derivatives," Duke Math. J. 37 (1970), 255-259.
-
(1970)
Duke Math. J.
, vol.37
, pp. 255-259
-
-
Vermes, R.1
-
281
-
-
0141597561
-
Une interpretation combinatoire des coefficients des dé veloppements en série entière des fonctions elliptiques de Jacobi
-
G. Viennot, "Une interpretation combinatoire des coefficients des développements en série entière des fonctions elliptiques de Jacobi," J. Combin. Theory Ser A 29 (1980), 121-133.
-
(1980)
J. Combin. Theory Ser A
, vol.29
, pp. 121-133
-
-
Viennot, G.1
-
282
-
-
0004189203
-
Une théorie combinatoire des polynômes orthogonaux génémux
-
publication de l'UQAM, Montreal
-
G. Viennot, "Une théorie combinatoire des polynômes orthogonaux génémux," in Lecture Notes, publication de l'UQAM, Montreal (1983).
-
(1983)
Lecture Notes
-
-
Viennot, G.1
-
283
-
-
0141485928
-
A combinatorial interpretation of the quotient-difference algorithm
-
Université de Bordeaux I
-
G. Viennot, "A combinatorial interpretation of the quotient-difference algorithm," Technical Report No. 8611, Université de Bordeaux I, 1986.
-
(1986)
Technical Report No. 8611
-
-
Viennot, G.1
-
284
-
-
27544469140
-
On the representation of numbers by sums of squares: Asymptotic formulas
-
in Russian
-
A.Z. Walfisz, "On the representation of numbers by sums of squares: Asymptotic formulas," Uspehi Mat. Nauk (N.S.) 52(6) (1952), 91-178 (in Russian); English transl. in Amer Math. Soc. Transl. 3(2) (1956), 163-248.
-
(1952)
Uspehi Mat. Nauk (N.S.)
, vol.52
, Issue.6
, pp. 91-178
-
-
Walfisz, A.Z.1
-
285
-
-
0141820561
-
-
English transl.
-
A.Z. Walfisz, "On the representation of numbers by sums of squares: Asymptotic formulas," Uspehi Mat. Nauk (N.S.) 52(6) (1952), 91-178 (in Russian); English transl. in Amer Math. Soc. Transl. 3(2) (1956), 163-248.
-
(1956)
Amer Math. Soc. Transl.
, vol.3
, Issue.2
, pp. 163-248
-
-
-
286
-
-
0003566712
-
-
D. Van Nostrand, New York; reprinted by Chelsea, New York,
-
H.S. Wall, Analytic Theory of Continued Fractions, D. Van Nostrand, New York, 1948; reprinted by Chelsea, New York, 1973.
-
(1948)
Analytic Theory of Continued Fractions
-
-
Wall, H.S.1
-
287
-
-
84972518120
-
Theta series in the Gaussian field
-
J.B. Walton, "Theta series in the Gaussian field," Duke Math. J. 16 (1949), 479-491.
-
(1949)
Duke Math. J.
, vol.16
, pp. 479-491
-
-
Walton, J.B.1
-
289
-
-
0004149831
-
-
Wolfram Media/Cambridge University Press, Cambridge
-
S. Wolfram, The Mathematica Book, 4th edn., Wolfram Media/Cambridge University Press, Cambridge, 1999.
-
(1999)
The Mathematica Book, 4th Edn.
-
-
Wolfram, S.1
-
290
-
-
84966214045
-
Calculation of the Taylor series expansion coefficients of the Jacobian elliptic function sn(x, k)
-
S. Wrigge, "Calculation of the Taylor series expansion coefficients of the Jacobian elliptic function sn(x, k)," Math. Comp. 36 (1981), 555-564.
-
(1981)
Math. Comp.
, vol.36
, pp. 555-564
-
-
Wrigge, S.1
-
291
-
-
84966198942
-
A note on the Taylor series expansion coefficients of the Jacobian elliptic function sn(x, k)
-
S. Wrigge, "A note on the Taylor series expansion coefficients of the Jacobian elliptic function sn(x, k)," Math. Comp. 37 (1981), 495-497.
-
(1981)
Math. Comp.
, vol.37
, pp. 495-497
-
-
Wrigge, S.1
-
292
-
-
0034348684
-
A proof of the Kac-Wakimoto affine denominator formula for the strange series
-
D. Zagier, "A proof of the Kac-Wakimoto affine denominator formula for the strange series," Math. Res. Letters 7 (2000), 597-604.
-
(2000)
Math. Res. Letters
, vol.7
, pp. 597-604
-
-
Zagier, D.1
-
293
-
-
13744263836
-
Proof of the alternating sign matrix conjecture
-
84 pp.
-
D. Zeilberger, "Proof of the alternating sign matrix conjecture," Electron. J. Combin. 3(R13) (1996), 84 pp.
-
(1996)
Electron. J. Combin.
, vol.3
, Issue.R3
-
-
Zeilberger, D.1
-
294
-
-
0001972430
-
Proof of the refined alternating sign matrix conjecture
-
D. Zeilberger, "Proof of the refined alternating sign matrix conjecture," New York J. Math. 2 (1996), 59-68.
-
(1996)
New York J. Math.
, vol.2
, pp. 59-68
-
-
Zeilberger, D.1
-
295
-
-
38249001410
-
Énumérations de permutations et J-fractions Continues
-
J. Zeng, Énumérations de permutations et J-fractions Continues," European J. Combin. 14(1993), 373-382.
-
(1993)
European J. Combin.
, vol.14
, pp. 373-382
-
-
Zeng, J.1
-
296
-
-
0042229011
-
Sur quelques propriétes de symétrie des nombres de Genocchi
-
J. Zeng, "Sur quelques propriétes de symétrie des nombres de Genocchi," Discrete Math. 153 (1996), 319-333.
-
(1996)
Discrete Math.
, vol.153
, pp. 319-333
-
-
Zeng, J.1
-
297
-
-
0009976624
-
The summation of series of hyperbolic functions
-
I. J. Zucker, "The summation of series of hyperbolic functions," SIAM J. Math. Anal. 10 (1979), 192-206.
-
(1979)
SIAM J. Math. Anal.
, vol.10
, pp. 192-206
-
-
Zucker, I.J.1
|