-
3
-
-
0345962743
-
Note on the transcendence of a generating function
-
A. Laurincikas, E. Manstavicius, V. Stakenas (Eds.)
-
J.-P. Allouche, Note on the transcendence of a generating function, in: A. Laurincikas, E. Manstavicius, V. Stakenas (Eds.), Proc. Palanga Conf. for the 75th birthday of Prof. Kubilius, New Trends in Probability and Statistics, vol. 4, 1997, pp. 461-465.
-
(1997)
Proc. Palanga Conf. for the 75th Birthday of Prof. Kubilius, New Trends in Probability and Statistics
, vol.4
, pp. 461-465
-
-
Allouche, J.-P.1
-
5
-
-
0028764196
-
Canonical positions for the factors in the paper-folding sequences
-
J.-P. Allouche, M. Bousquet-Mélou, Canonical positions for the factors in the paper-folding sequences, Theoret. Comput. Sci. 129 (1994) 263-278.
-
(1994)
Theoret. Comput. Sci.
, vol.129
, pp. 263-278
-
-
Allouche, J.-P.1
Bousquet-Mélou, M.2
-
7
-
-
0347223990
-
Transcendence of binomial and Lucas' formal power series
-
February
-
J.-P. Allouche, D. Gouyou-Beauchamps, G. Skordev, Transcendence of binomial and Lucas' formal power series, Rapport de Recherche du LRI 1153 (February 1998), Orsay, J. Algebra, to appear.
-
(1998)
Rapport de Recherche du LRI
, vol.1153
-
-
Allouche, J.-P.1
Gouyou-Beauchamps, D.2
Skordev, G.3
-
8
-
-
85034564723
-
-
to appear
-
J.-P. Allouche, D. Gouyou-Beauchamps, G. Skordev, Transcendence of binomial and Lucas' formal power series, Rapport de Recherche du LRI 1153 (February 1998), Orsay, J. Algebra, to appear.
-
J. Algebra
-
-
Orsay1
-
10
-
-
1842629181
-
Automata and transcendence of Tate period in finite characteristic
-
to appear
-
J.-P. Allouche, D. Thakur, Automata and transcendence of Tate period in finite characteristic, Proc. Amer. Math. Soc., to appear.
-
Proc. Amer. Math. Soc.
-
-
Allouche, J.-P.1
Thakur, D.2
-
11
-
-
0010211187
-
Hilbert series of fixed free algebras and noncommutative classical invariant theory
-
G. Almkvist, W. Dicks, E. Formanek, Hilbert series of fixed free algebras and noncommutative classical invariant theory, J. Algebra 93 (1985) 189-214.
-
(1985)
J. Algebra
, vol.93
, pp. 189-214
-
-
Almkvist, G.1
Dicks, W.2
Formanek, E.3
-
12
-
-
84966251385
-
Growth functions for residually torsion-free nilpotents groups
-
R. C. Alperin, B. L. Peterson, Growth functions for residually torsion-free nilpotents groups, Proc. Amer. Math. Soc. 109 (1990) 585-587.
-
(1990)
Proc. Amer. Math. Soc.
, vol.109
, pp. 585-587
-
-
Alperin, R.C.1
Peterson, B.L.2
-
13
-
-
0023366701
-
Prefixes of infinite words and ambiguous context-free languages
-
J.-M. Autebert, P. Flajolet, J. Gabarro, Prefixes of infinite words and ambiguous context-free languages, Inform. Process. Lett. 25 (1987) 211-216.
-
(1987)
Inform. Process. Lett.
, vol.25
, pp. 211-216
-
-
Autebert, J.-M.1
Flajolet, P.2
Gabarro, J.3
-
14
-
-
0003372863
-
Algorithmic number theory
-
MIT Press, Cambridge, MA
-
E. Bach, J. Shallit, Algorithmic number theory. Efficient Algorithms, vol. 1, MIT Press, Cambridge, MA; Series in the Foundations of Computing, The MIT Press, Cambridge MA, 1996 .
-
Efficient Algorithms
, vol.1
-
-
Bach, E.1
Shallit, J.2
-
15
-
-
0347854094
-
-
The MIT Press, Cambridge MA
-
E. Bach, J. Shallit, Algorithmic number theory. Efficient Algorithms, vol. 1, MIT Press, Cambridge, MA; Series in the Foundations of Computing, The MIT Press, Cambridge MA, 1996 .
-
(1996)
Series in the Foundations of Computing
-
-
-
16
-
-
14544287110
-
Juggling, drops and descents
-
J. Buhler, D. Eisenbud, R. Graham, C. Wright, Juggling, drops and descents, Amer. Math. Monthly 101 (1994) 507-519.
-
(1994)
Amer. Math. Monthly
, vol.101
, pp. 507-519
-
-
Buhler, J.1
Eisenbud, D.2
Graham, R.3
Wright, C.4
-
17
-
-
0039894098
-
Über Potenzreihen mit ganzzahligen Koeffizienten
-
F. Carlson, Über Potenzreihen mit ganzzahligen Koeffizienten, Math. Zeitschift 9 (1921) 1-13.
-
(1921)
Math. Zeitschift
, vol.9
, pp. 1-13
-
-
Carlson, F.1
-
18
-
-
77956972992
-
The algebraic theory of context-free languages
-
P. Braffort, D. Hirschbert (Eds.), North-Holland, Amsterdam
-
N. Chomsky, M. P. Schützenberger, The algebraic theory of context-free languages, in: P. Braffort, D. Hirschbert (Eds.), Computer Programming and Formal Systems, North-Holland, Amsterdam, 1963, pp. 118-161.
-
(1963)
Computer Programming and Formal Systems
, pp. 118-161
-
-
Chomsky, N.1
Schützenberger, M.P.2
-
19
-
-
0001453259
-
Ensembles presque périodiques k-reconnaissables
-
G. Christol, Ensembles presque périodiques k-reconnaissables, Theoret. Comput. Sci. 9 (1979) 141-145.
-
(1979)
Theoret. Comput. Sci.
, vol.9
, pp. 141-145
-
-
Christol, G.1
-
20
-
-
0001364111
-
Suites algébriques, automates et substitutions
-
G. Christol, T. Kamae, M. Mendès France, G. Rauzy, Suites algébriques, automates et substitutions, Bull. Soc. Math. France 108 (1980), 401-419.
-
(1980)
Bull. Soc. Math. France
, vol.108
, pp. 401-419
-
-
Christol, G.1
Kamae, T.2
Mendès France, M.3
Rauzy, G.4
-
21
-
-
0000157608
-
On the base-dependence of sets of numbers recognizable by finite automata
-
A. Cobham, On the base-dependence of sets of numbers recognizable by finite automata, Math. Systems Theory 3 (1969) 186-192.
-
(1969)
Math. Systems Theory
, vol.3
, pp. 186-192
-
-
Cobham, A.1
-
22
-
-
34249948426
-
Uniform tag sequences
-
A. Cobham, Uniform tag sequences, Math. Systems Theory 6 (1972) 164-192.
-
(1972)
Math. Systems Theory
, vol.6
, pp. 164-192
-
-
Cobham, A.1
-
23
-
-
33748769984
-
Abriß einer Theorie der höher Congruenzen in Bezug auf einen reellen Primzahl-Modulus
-
J.W.R. Dedekind, Abriß einer Theorie der höher Congruenzen in Bezug auf einen reellen Primzahl-Modulus, J. Reine Angew. Math. 54 (1857) 1-26. Reprinted in: R. Fricke, E. Noether, Ö. Ore (Eds.), Gesammelte mathematische Werke, Chelsea, New York, vol. 1, 1969, pp. 40-66.
-
(1857)
J. Reine Angew. Math.
, vol.54
, pp. 1-26
-
-
Dedekind, J.W.R.1
-
24
-
-
33748769984
-
-
Chelsea, New York
-
J.W.R. Dedekind, Abriß einer Theorie der höher Congruenzen in Bezug auf einen reellen Primzahl- Modulus, J. Reine Angew. Math. 54 (1857) 1-26. Reprinted in: R. Fricke, E. Noether, Ö. Ore (Eds.), Gesammelte mathematische Werke, Chelsea, New York, vol. 1, 1969, pp. 40-66.
-
(1969)
Gesammelte Mathematische Werke
, vol.1
, pp. 40-66
-
-
Fricke, R.1
Noether, E.2
Ore, Ö.3
-
25
-
-
0013502531
-
Transcendance du nombre de Thue-Morse
-
F. M. Dekking, Transcendance du nombre de Thue-Morse, C. R. Acad. Sci. Sér. I 285 (1977) 157-160.
-
(1977)
C. R. Acad. Sci. Sér. I
, vol.285
, pp. 157-160
-
-
Dekking, F.M.1
-
28
-
-
0001737037
-
Séries trigonométriques et séries de Taylor
-
P. Fatou, Séries trigonométriques et séries de Taylor, Acta Math. 30 (1906) 335-400.
-
(1906)
Acta Math.
, vol.30
, pp. 335-400
-
-
Fatou, P.1
-
29
-
-
0022319239
-
Analytic models and ambiguity of context-free languages
-
P. Flajolet, Analytic models and ambiguity of context-free languages, Theoret. Comput. Sci. 49 (1987) 283-309.
-
(1987)
Theoret. Comput. Sci.
, vol.49
, pp. 283-309
-
-
Flajolet, P.1
-
31
-
-
0000543521
-
Algebraic functions over finite fields
-
H. Furstenberg, Algebraic functions over finite fields, J. Algebra 7 (1967) 271-277.
-
(1967)
J. Algebra
, vol.7
, pp. 271-277
-
-
Furstenberg, H.1
-
34
-
-
85034558925
-
Die Lehre von den Resten. II
-
H. Maser (Ed.), J. Springer, Berlin, reprinted by Chelsea, New York
-
C.F. Gauss, Die Lehre von den Resten. II, in: H. Maser (Ed.), Untersuchungen über höhere Arithmetik von Carl Friedrich Gauss, J. Springer, Berlin, 1889, pp. 602-629; reprinted by Chelsea, New York, 1981.
-
(1889)
Untersuchungen Über Höhere Arithmetik von Carl Friedrich Gauss
, pp. 602-629
-
-
Gauss, C.F.1
-
35
-
-
0030677012
-
On problems related to growth, entropy and spectrum in group theory
-
R. Grigorchuk, P. de la Harpe, On problems related to growth, entropy and spectrum in group theory, J. Dyn. Control Systems 3 (1997) 51-89.
-
(1997)
J. Dyn. Control Systems
, vol.3
, pp. 51-89
-
-
Grigorchuk, R.1
De La Harpe, P.2
-
37
-
-
51249170980
-
Algebraic elements in formal power series rings
-
T. Harase, Algebraic elements in formal power series rings, Israel J. Math. 63 (1988) 281-288.
-
(1988)
Israel J. Math.
, vol.63
, pp. 281-288
-
-
Harase, T.1
-
38
-
-
0040665402
-
Der Eisensteinsche Satz über Reihen-Entwicklung algebraischer Functionen
-
E. Heine, Der Eisensteinsche Satz über Reihen-Entwicklung algebraischer Functionen, J. Reine Angew. Math. 45 (1853) 285-302.
-
(1853)
J. Reine Angew. Math.
, vol.45
, pp. 285-302
-
-
Heine, E.1
-
40
-
-
85034556776
-
Enumerating regular maps and normal subgroups of the modular group
-
V. Strehl (Ed.), Publication de l'IRMA, Strasbourg
-
e Séminaire Lotharingien de Combinatoire, 1986, Publication de l'IRMA, Strasbourg, pp. 81-88.
-
(1986)
e Séminaire Lotharingien de Combinatoire
, pp. 81-88
-
-
Jones, G.A.1
-
41
-
-
0004256326
-
-
Classical Foundations and Multiplicative Groups, Marcel Dekker, New York
-
G. Karpilovsky, Field theory, Classical Foundations and Multiplicative Groups, Marcel Dekker, New York, 1988.
-
(1988)
Field Theory
-
-
Karpilovsky, G.1
-
42
-
-
0002796533
-
Sur les congruences des nombres eulériens et des coefficients différentiels des fonctions trigonométriques, suivant un module premier
-
E. Lucas, Sur les congruences des nombres eulériens et des coefficients différentiels des fonctions trigonométriques, suivant un module premier, Bull. Soc. Math. France 6 (1878) 49-54.
-
(1878)
Bull. Soc. Math. France
, vol.6
, pp. 49-54
-
-
Lucas, E.1
-
43
-
-
0000626948
-
A generalization of a congruential property of Lucas
-
R.J. McIntosh, A generalization of a congruential property of Lucas, Amer. Math. Monthly 99 (1992) 231-238.
-
(1992)
Amer. Math. Monthly
, vol.99
, pp. 231-238
-
-
McIntosh, R.J.1
-
44
-
-
0001544807
-
Dimension des courbes planes, papiers pliés et suites de Rudin-Shapiro
-
M. Mendès France, G. Tenenbaum, Dimension des courbes planes, papiers pliés et suites de Rudin-Shapiro, Bull. Soc. Math. France 109 (1981) 207-215.
-
(1981)
Bull. Soc. Math. France
, vol.109
, pp. 207-215
-
-
Mendès France, M.1
Tenenbaum, G.2
-
47
-
-
0002167683
-
4-core partitions and class numbers
-
K. Ono, L. Sze, 4-core partitions and class numbers, Acta Arith. 80 (1997) 249-272.
-
(1997)
Acta Arith.
, vol.80
, pp. 249-272
-
-
Ono, K.1
Sze, L.2
-
48
-
-
0030182146
-
On the language of primitive words
-
H. Petersen, On the language of primitive words, Theoret. Comput. Sci. 161 (1996) 141-156.
-
(1996)
Theoret. Comput. Sci.
, vol.161
, pp. 141-156
-
-
Petersen, H.1
-
49
-
-
84973986431
-
The divisibility of divisor functions
-
R.A. Rankin, The divisibility of divisor functions, Proc. Glasgow Math. Assoc. 5 (1961) 35-40.
-
(1961)
Proc. Glasgow Math. Assoc.
, vol.5
, pp. 35-40
-
-
Rankin, R.A.1
-
50
-
-
0009417104
-
Mots circulaires et polynômes irréductibles
-
C. Reutenauer, Mots circulaires et polynômes irréductibles, Ann. Sci. Math. Québec 12 (1988) 275-285.
-
(1988)
Ann. Sci. Math. Québec
, vol.12
, pp. 275-285
-
-
Reutenauer, C.1
-
51
-
-
0000432807
-
Finite automata and the set of squares
-
R.W. Ritchie, Finite automata and the set of squares, J. Assoc. Comput. Mach. 10 (1963) 528-531.
-
(1963)
J. Assoc. Comput. Mach.
, vol.10
, pp. 528-531
-
-
Ritchie, R.W.1
-
52
-
-
84941844239
-
Über diejenigen Fälle in welchen die Gaussische hypergeometrische Reihe eine algebraische Funktion ihres vierten Elements darstellt
-
H.A. Schwarz, Über diejenigen Fälle in welchen die Gaussische hypergeometrische Reihe eine algebraische Funktion ihres vierten Elements darstellt, J. Reine Angew. Math. 75 (1872) 292-335.
-
(1872)
J. Reine Angew. Math.
, vol.75
, pp. 292-335
-
-
Schwarz, H.A.1
-
54
-
-
0040023457
-
Children products of formal power series
-
H. Sharif, Children products of formal power series, Math. Japonica 38 (1993) 319-324.
-
(1993)
Math. Japonica
, vol.38
, pp. 319-324
-
-
Sharif, H.1
-
55
-
-
84963015776
-
Algebraic functions over a field of positive characteristic
-
H. Sharif, C. F. Woodcock, Algebraic functions over a field of positive characteristic, J. London Math. Soc. 37 (1988) 395-403.
-
(1988)
J. London Math. Soc.
, vol.37
, pp. 395-403
-
-
Sharif, H.1
Woodcock, C.F.2
-
56
-
-
84968514104
-
Differentiable dynamical systems
-
S. Smale, Differentiable dynamical systems, Bull. Am. Math. Soc. 73 (1967) 747-817.
-
(1967)
Bull. Am. Math. Soc.
, vol.73
, pp. 747-817
-
-
Smale, S.1
-
57
-
-
0347854035
-
A four-dimensional Catalan formula
-
S.L. Snover, S.F. Troyer, A four-dimensional Catalan formula, Congr. Numer. 75 (1990) 123-126.
-
(1990)
Congr. Numer.
, vol.75
, pp. 123-126
-
-
Snover, S.L.1
Troyer, S.F.2
-
58
-
-
0000410641
-
Differentiably finite power series
-
R.P. Stanley, Differentiably finite power series, European J. Comb. 1 (1980) 175-188.
-
(1980)
European J. Comb.
, vol.1
, pp. 175-188
-
-
Stanley, R.P.1
-
59
-
-
0039712772
-
Rational and transcendental growth series for the higher Heisenberg groups
-
M. Stoll, Rational and transcendental growth series for the higher Heisenberg groups, Invent. Math. 109 (1996) 85-109.
-
(1996)
Invent. Math.
, vol.109
, pp. 85-109
-
-
Stoll, M.1
-
60
-
-
0007148324
-
Über Potenzreihen mit endlich vielen verschiedenen Koeffizienten, Sitzungsberichte der Preussischen Akademie der Wissenschaften
-
G. Szego, Über Potenzreihen mit endlich vielen verschiedenen Koeffizienten, Sitzungsberichte der Preussischen Akademie der Wissenschaften, Phys.-Math. Klasse (1922) 88-91. Reprinted in Collected Papers, R. Askey (Ed.), Contemporary Mathematicians, vol. 1, Birkhäuser, Boston, 1982, pp. 557-561.
-
(1922)
Phys.-Math. Klasse
, pp. 88-91
-
-
Szego, G.1
-
61
-
-
85034563901
-
-
Birkhäuser, Boston
-
G. Szego, Über Potenzreihen mit endlich vielen verschiedenen Koeffizienten, Sitzungsberichte der Preussischen Akademie der Wissenschaften, Phys.-Math. Klasse (1922) 88-91. Reprinted in Collected Papers, R. Askey (Ed.), Contemporary Mathematicians, vol. 1, Birkhäuser, Boston, 1982, pp. 557-561.
-
(1982)
Contemporary Mathematicians
, vol.1
, pp. 557-561
-
-
Askey, R.1
-
62
-
-
0003764203
-
-
Institut Élie Cartan, Nancy
-
G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, Institut Élie Cartan, Nancy, 1990; (see also G. Tenenbaum, Introduction to Analytic and Probabilistic Number Theory, Cambridge Studies in Advanced Mathematics, vol. 46, Cambridge Univ. Press, Cambridge, 1995, p. 165).
-
(1990)
Introduction à la Théorie Analytique et Probabiliste des Nombres
-
-
Tenenbaum, G.1
-
63
-
-
0003244611
-
Introduction to Analytic and Probabilistic Number Theory
-
Cambridge Univ. Press, Cambridge
-
G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, Institut Élie Cartan, Nancy, 1990; (see also G. Tenenbaum, Introduction to Analytic and Probabilistic Number Theory, Cambridge Studies in Advanced Mathematics, vol. 46, Cambridge Univ. Press, Cambridge, 1995, p. 165).
-
(1995)
Cambridge Studies in Advanced Mathematics
, vol.46
, pp. 165
-
-
Tenenbaum, G.1
-
64
-
-
17744361812
-
Exercices corrigés de théorie analytique et probabiliste des nombres
-
Société Mathématique de France, Paris
-
G. Tenenbaum, J. Wu, Exercices corrigés de théorie analytique et probabiliste des nombres, Cours spécialisés 2, Société Mathématique de France, Paris, 1996.
-
(1996)
Cours Spécialisés
, vol.2
-
-
Tenenbaum, G.1
Wu, J.2
-
65
-
-
78249290725
-
Power series representing algebraic functions
-
Paris
-
A.J. van der Poorten, Power series representing algebraic functions, Séminaire de Théorie des Nombres, Paris, 1990-1991, pp. 241-262.
-
(1990)
Séminaire de Théorie des Nombres
, pp. 241-262
-
-
Van Der Poorten, A.J.1
-
66
-
-
38249022042
-
On the transcendence of certain series
-
C.F. Woodcock, H. Sharif, On the transcendence of certain series, J. Algebra 121 (1989) 364-369.
-
(1989)
J. Algebra
, vol.121
, pp. 364-369
-
-
Woodcock, C.F.1
Sharif, H.2
-
67
-
-
0347223942
-
Studien über die Bernoullischen und Eulerschen Zahlen
-
J. Worpitzky, Studien über die Bernoullischen und Eulerschen Zahlen, J. Reine Angew. Math. 94 (1881) 103-232.
-
(1881)
J. Reine Angew. Math.
, vol.94
, pp. 103-232
-
-
Worpitzky, J.1
|