-
2
-
-
0001964912
-
Ramanujan's unpublished manuscript on the partition and tau functions with proofs and commentary
-
Maratea, 1998, (Eds.) D. Foata and G.N. Han. MR 20001:01027
-
B.C. Berndt and K. Ono, Ramanujan's unpublished manuscript on the partition and tau functions with proofs and commentary, The Andrews Festschrift (Maratea, 1998), (Eds.) D. Foata and G.N. Han, 2001, 39-110. MR 20001:01027
-
(2001)
The Andrews Festschrift
, pp. 39-110
-
-
Berndt, B.C.1
Ono, K.2
-
3
-
-
0043120912
-
Distribution functions and positive definite functions
-
S. Bochner and B. Jessen, Distribution functions and positive definite functions, Ann. Math. 35 (1934), 252-257.
-
(1934)
Ann. Math.
, vol.35
, pp. 252-257
-
-
Bochner, S.1
Jessen, B.2
-
4
-
-
0001433745
-
Lettre de M. le Professeur Tchébychev à M. Fuss sur un nouveaux théorème relatif aux nombres premiers contenus dans les formes 4n + 1 ets 4n + 3
-
P.L. Chebyshev, Lettre de M. le Professeur Tchébychev à M. Fuss sur un nouveaux théorème relatif aux nombres premiers contenus dans les formes 4n + 1 ets 4n + 3, Bull Classe Phys. Acad. Imp. Sci. St. Petersburg 11 (1853), 208.
-
(1853)
Bull Classe Phys. Acad. Imp. Sci. St. Petersburg
, vol.11
, pp. 208
-
-
Chebyshev, P.L.1
-
5
-
-
0003254545
-
Advanced topics in computational number theory
-
Springer-Verlag, New York, MR 2000k: 11144
-
H. Cohen, Advanced topics in computational number theory, GTM 193, Springer-Verlag, New York, 2000. MR 2000k: 11144
-
(2000)
GTM
, vol.193
-
-
Cohen, H.1
-
7
-
-
84873615146
-
Estimations numériques du reste de la fonction sommatoire relative aux entiers sans facteur carré
-
MR 891:11103
-
H. Cohen and F. Dress, Estimations numériques du reste de la fonction sommatoire relative aux entiers sans facteur carré, Publ. Math. Orsay 88/02 (1988), 73-76. MR 891:11103
-
(1988)
Publ. Math. Orsay
, vol.88
, Issue.2
, pp. 73-76
-
-
Cohen, H.1
Dress, F.2
-
9
-
-
0011351634
-
The arithmetic-geometric mean of Gauss
-
MR 86a:01027
-
D.A. Cox, The arithmetic-geometric mean of Gauss, Enseign. Math. 30 (1984), 275-330. MR 86a:01027
-
(1984)
Enseign. Math.
, vol.30
, pp. 275-330
-
-
Cox, D.A.1
-
11
-
-
84966214997
-
Generalized Euler constants for arithmetical progressions
-
MR 92k:11145
-
K. Dilcher, Generalized Euler constants for arithmetical progressions. Math. Comp. 59 (1992), 259-282. MR 92k:11145
-
(1992)
Math. Comp.
, vol.59
, pp. 259-282
-
-
Dilcher, K.1
-
13
-
-
0011036407
-
-
Cambridge University Press
-
S.R. Finch, Mathematical Constants, Cambridge University Press, (2003); website http://pauillac.inria.fr/algo/bsolve/constant/constant.html
-
(2003)
Mathematical Constants
-
-
Finch, S.R.1
-
15
-
-
0042808911
-
The boundary values of generalized Dirichlet series and a problem of Chebyshev
-
MR 94a:11144
-
J. Kaczorowski, The boundary values of generalized Dirichlet series and a problem of Chebyshev, Astérisque 209 (1992), 227-235. MR 94a:11144
-
(1992)
Astérisque
, vol.209
, pp. 227-235
-
-
Kaczorowski, J.1
-
16
-
-
0042119004
-
Boundary values of Dirichlet series and the distribution of primes
-
Budapest
-
J. Kaczorowski, Boundary values of Dirichlet series and the distribution of primes, European Congress of Mathematics, Vol. I (Budapest, 1996), 237-254, Progr. Math., 168, Birkhäuser, Basel, 1998. MR 99f:11119
-
(1996)
European Congress of Mathematics
, vol.1
, pp. 237-254
-
-
Kaczorowski, J.1
-
17
-
-
0742298531
-
-
Birkhäuser, Basel. MR 99f:11119
-
J. Kaczorowski, Boundary values of Dirichlet series and the distribution of primes, European Congress of Mathematics, Vol. I (Budapest, 1996), 237-254, Progr. Math., 168, Birkhäuser, Basel, 1998. MR 99f:11119
-
(1998)
Progr. Math.
, vol.168
-
-
-
18
-
-
0005730247
-
Further developments in the comparative prime-number theory
-
MR 29:75
-
S. Knapowski and P. Turán, Further developments in the comparative prime-number theory. I, Acta Arith. 9 (1964), 23-40. MR 29:75
-
(1964)
I, Acta Arith.
, vol.9
, pp. 23-40
-
-
Knapowski, S.1
Turán, P.2
-
19
-
-
84942224335
-
Über die zu einem algebraischen Zahlkörper gehörige Zetafunktion und die Ausdehnung der Tschebyschefschen Primzahlentheorie aus das Problem der Verteilung der Primideale
-
E. Landau, Über die zu einem algebraischen Zahlkörper gehörige Zetafunktion und die Ausdehnung der Tschebyschefschen Primzahlentheorie aus das Problem der Verteilung der Primideale, J. Reine Angew. Math. 125 (1903), 64-188.
-
(1903)
J. Reine Angew. Math.
, vol.125
, pp. 64-188
-
-
Landau, E.1
-
20
-
-
0002075858
-
Über die Einteilung der positiven ganzen Zahlen in vier Klassen nach der mindest Anzahl der zu ihrer additiven Zusammensetzung erforderlichen Quadrate
-
E. Landau, Über die Einteilung der positiven ganzen Zahlen in vier Klassen nach der mindest Anzahl der zu ihrer additiven Zusammensetzung erforderlichen Quadrate, Arch. der Math. und Phys. 13 (1908), 305-312.
-
(1908)
Arch. der Math. und Phys.
, vol.13
, pp. 305-312
-
-
Landau, E.1
-
21
-
-
0010756935
-
Application of some integral equations to problems of number theory
-
MR 37:5174
-
B.V. Levin and A.S. Fainleib, Application of some integral equations to problems of number theory, Russian Math. Surveys 22 (1967), 119-204. MR 37:5174
-
(1967)
Russian Math. Surveys
, vol.22
, pp. 119-204
-
-
Levin, B.V.1
Fainleib, A.S.2
-
22
-
-
0001651390
-
Distribution des nombres premiers
-
J.E. Littlewood, Distribution des nombres premiers, C.R. Acad. Sci. Paris 158 (1914). 1869-1872.
-
(1914)
C.R. Acad. Sci. Paris
, vol.158
, pp. 1869-1872
-
-
Littlewood, J.E.1
-
23
-
-
0005147030
-
Landau-Siegel zeroes and black hole entropy
-
MR 20021:11063
-
S.D. Miller and G. Moore, Landau-Siegel zeroes and black hole entropy, Asian J. Math. 4 (2000), 183-211. MR 20021:11063
-
(2000)
Asian J. Math.
, vol.4
, pp. 183-211
-
-
Miller, S.D.1
Moore, G.2
-
24
-
-
0034134477
-
Approximation of singular series and automata
-
MR 2001f:11204
-
P. Moree, Approximation of singular series and automata, Manuscripta Math. 101 (2000), 385-399. MR 2001f:11204
-
(2000)
Manuscripta Math.
, vol.101
, pp. 385-399
-
-
Moree, P.1
-
25
-
-
15544376390
-
On some claims in Ramanujan's 'unpublished' manuscript on the partition and tau functions
-
arXiv:math.NT/0201265
-
P. Moree. On some claims in Ramanujan's 'unpublished' manuscript on the partition and tau functions, arXiv:math.NT/0201265, to appear in The Ramanujan Journal
-
The Ramanujan Journal
-
-
Moree, P.1
-
26
-
-
0742316126
-
On a claim of Ramanujan in his first letter to Hardy
-
MR 2001c:11103
-
P. Moree and J. Cazaran, On a claim of Ramanujan in his first letter to Hardy, Exposition. Math. 17 (1999), 289-311. MR 2001c:11103
-
(1999)
Exposition. Math.
, vol.17
, pp. 289-311
-
-
Moree, P.1
Cazaran, J.2
-
27
-
-
0742281157
-
The hexagonal versus the square lattice
-
arXiv:math.NT/0204332
-
P. Moree and H.J.J. te Riele, The hexagonal versus the square lattice, arXiv:math.NT/0204332, to appear in Math. Comp.
-
Math. Comp.
-
-
Moree, P.1
Te Riele, H.J.J.2
-
28
-
-
0742333778
-
The error term for the squarefree integers
-
MR 34:150
-
L. Moser and R.A. MacLeod, The error term for the squarefree integers, Canad. Math. Bull. 9 (1966), 303-306. MR 34:150
-
(1966)
Canad. Math. Bull.
, vol.9
, pp. 303-306
-
-
Moser, L.1
Macleod, R.A.2
-
29
-
-
14644445923
-
The development of prime number theory. From Euclid to Hardy and Little-wood
-
Springer-Verlag, Berlin, MR 2001c:11098
-
W. Narkiewicz, The development of prime number theory. From Euclid to Hardy and Little-wood, Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2000. MR 2001c:11098
-
(2000)
Springer Monographs in Mathematics
-
-
Narkiewicz, W.1
-
30
-
-
0742298530
-
On constants connected with the prime number theorem for arithmetic progressions
-
MR 49:7219
-
V. Nevanlinna, On constants connected with the prime number theorem for arithmetic progressions, Ann. Acad. Sci. Fenn. Ser. A 1 539 (1973), 11 pp. MR 49:7219
-
(1973)
Ann. Acad. Sci. Fenn. Ser. A I
, vol.539
, pp. 11
-
-
Nevanlinna, V.1
-
31
-
-
0006388969
-
Introduction to analytic number theory
-
AMS, Providence, Rhode Island, MR 89a: 11001
-
A.G. Postnikov, Introduction to analytic number theory, AMS translations of mathematical monographs 68. AMS, Providence, Rhode Island, 1988. MR 89a: 11001
-
(1988)
AMS Translations of Mathematical Monographs
, vol.68
-
-
Postnikov, A.G.1
-
32
-
-
0036985550
-
Sur un théorème de Mertens
-
O. Ramaré, Sur un théorème de Mertens, Manuscripta Math. 108 (2002), 495-513.
-
(2002)
Manuscripta Math.
, vol.108
, pp. 495-513
-
-
Ramaré, O.1
-
33
-
-
0030352506
-
Primes in arithmetic progressions
-
MR 97a:11144
-
O. Ramaré and R. Rumely. Primes in arithmetic progressions, Math. Comp. 65 (1996), 397-425. MR 97a:11144
-
(1996)
Math. Comp.
, vol.65
, pp. 397-425
-
-
Ramaré, O.1
Rumely, R.2
-
34
-
-
84972540003
-
Approximate formulas for some functions of prime numbers
-
MR 25:1139
-
J.B. Rosser and L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois Journal Math. 6 (1962), 64-94. MR 25:1139
-
(1962)
Illinois Journal Math.
, vol.6
, pp. 64-94
-
-
Rosser, J.B.1
Schoenfeld, L.2
-
36
-
-
0032379122
-
Geometry of Riemann surfaces based on closed geodesies
-
MR 99b:11098
-
P. Schmutz Schaller, Geometry of Riemann surfaces based on closed geodesies, Bull. Amer. Math. Soc. (N.S.) 35 (1998), 193-214. MR 99b:11098
-
(1998)
Bull. Amer. Math. Soc. (N.S.)
, vol.35
, pp. 193-214
-
-
Schaller, P.S.1
-
37
-
-
84966220677
-
Sharper bounds for the Chebyshev functions θ (x) and ψ(x). II
-
MR 56:15881b
-
L. Schoenfeld, Sharper bounds for the Chebyshev functions θ (x) and ψ(x). II, Math. Comp. 30 (1976), 337-360. MR 56:15881b
-
(1976)
Math. Comp.
, vol.30
, pp. 337-360
-
-
Schoenfeld, L.1
-
38
-
-
0002944796
-
Divisibilité de certaines fonctions arithmétiques
-
MR 55:7958
-
J.-P. Serre, Divisibilité de certaines fonctions arithmétiques, Enseign. Math. 22 (1976), 227-260. MR 55:7958
-
(1976)
Enseign. Math.
, vol.22
, pp. 227-260
-
-
Serre, J.-P.1
-
39
-
-
0742298532
-
The second order term in the asymptotic expansion of B(x)
-
MR 28:2391
-
D. Shanks, The second order term in the asymptotic expansion of B(x), Math. Comp. 18 (1964), 75-86. MR 28:2391
-
(1964)
Math. Comp.
, vol.18
, pp. 75-86
-
-
Shanks, D.1
-
40
-
-
0035650118
-
Sums over nonnegative multiplicative functions over integers without large prime factors. I
-
MR 2002f:11130
-
J.M. Song, Sums over nonnegative multiplicative functions over integers without large prime factors. I, Acta Arith. 97 (2001), 329-351. MR 2002f:11130
-
(2001)
Acta Arith.
, vol.97
, pp. 329-351
-
-
Song, J.M.1
-
42
-
-
26344432966
-
-
Ed. P. Erdös. Akadémiai KiadÓ, Budapest. MR 911:01145
-
P. Turán, Collected papers of Paul Turán, Vol. 1-3, Ed. P. Erdös. Akadémiai KiadÓ, Budapest, 1990. MR 911:01145
-
(1990)
Collected Papers of Paul Turán
, vol.1-3
-
-
Turán, P.1
-
43
-
-
0742316127
-
Mertens' theorem for arithmetic progressions
-
MR 51:392
-
K.S. Williams, Mertens' theorem for arithmetic progressions, J. Number Theory 6 (1974), 353-359. MR 51:392
-
(1974)
J. Number Theory
, vol.6
, pp. 353-359
-
-
Williams, K.S.1
-
44
-
-
0041618108
-
Upon a statistical method in the theory of diophantine approximations
-
A. Wintner, Upon a statistical method in the theory of diophantine approximations, Amer. J. Math. 55 (1933), 309-331.
-
(1933)
Amer. J. Math.
, vol.55
, pp. 309-331
-
-
Wintner, A.1
-
45
-
-
0002753120
-
Das asymptotische Verhalten von Summen Über multiplikative Funktionen
-
MR 24:A1241
-
E. Wirsing, Das asymptotische Verhalten von Summen Über multiplikative Funktionen, Math. Ann. 143 (1961), 75-102. MR 24:A1241
-
(1961)
Math. Ann.
, vol.143
, pp. 75-102
-
-
Wirsing, E.1
|