-
1
-
-
84968504313
-
Some series involving the Riemann Zeta function
-
MR 15:685c
-
T.M. Apostol, Some series involving the Riemann Zeta function, Proc. Amer. Math. Soc. 5(1954), 239-243. MR 15:685c
-
(1954)
Proc. Amer. Math. Soc.
, vol.5
, pp. 239-243
-
-
Apostol, T.M.1
-
2
-
-
0000428944
-
Euler and the Zeta functions
-
MR 50:12566
-
R. Ayoub, Euler and the Zeta functions, Amer. Math. Monthly 81(1974), 1067-1086. MR 50:12566
-
(1974)
Amer. Math. Monthly
, vol.81
, pp. 1067-1086
-
-
Ayoub, R.1
-
3
-
-
0000426623
-
Modular transformations and generalizations of several formulae of Ramanujan
-
MR 55:2714
-
B.C. Berndt, Modular transformations and generalizations of several formulae of Ramanujan, Rocky Mountain J. Math. 7(1977), 147-189. MR 55:2714
-
(1977)
Rocky Mountain J. Math.
, vol.7
, pp. 147-189
-
-
Berndt, B.C.1
-
5
-
-
38249009136
-
Riemann Zeta function: Rapidly converging series and integral representations
-
MR 93b:11106
-
P.L. Butzer and M. Hauss, Riemann Zeta function: Rapidly converging series and integral representations, Appl. Math. Lett. 5(2) (1992), 83-88. MR 93b:11106
-
(1992)
Appl. Math. Lett.
, vol.5
, Issue.2
, pp. 83-88
-
-
Butzer, P.L.1
Hauss, M.2
-
6
-
-
33646988348
-
Stirling numbers, central factorial numbers, and representations of the Riemann Zeta function
-
MR 92a:11095
-
P.L. Butzer, C. Markett, and M. Schmidt, Stirling numbers, central factorial numbers, and representations of the Riemann Zeta function, Resultate Math. 19(1991), 257-274. MR 92a:11095
-
(1991)
Resultate Math.
, vol.19
, pp. 257-274
-
-
Butzer, P.L.1
Markett, C.2
Schmidt, M.3
-
7
-
-
14944349295
-
Generalisation d'une construction de R. Apery
-
MR 84a:10036
-
H. Cohen, Generalisation d'une construction de R. Apery, Bull. Soc. Math. France 109(1981), 269-281. MR 84a:10036
-
(1981)
Bull. Soc. Math. France
, vol.109
, pp. 269-281
-
-
Cohen, H.1
-
8
-
-
21744449094
-
New rapidly convergent series representations for ζ(2n + 1)
-
MR 97g:11090
-
D. Cvijovic and J. Klinowski, New rapidly convergent series representations for ζ(2n + 1), Proc. Amer. Math. Soc. 125(1997), 1263-1271. MR 97g:11090
-
(1997)
Proc. Amer. Math. Soc. 125
, pp. 1263-1271
-
-
Cvijovic, D.1
Klinowski, J.2
-
9
-
-
0012754312
-
A note on the values of the Riemann Zeta function at positive odd integers
-
MR 9Tg:11142
-
A. Dabrowski, A note on the values of the Riemann Zeta function at positive odd integers, Nieuw Arch. Wish. (4) 14(1996), 199-207. MR 9Tg:11142
-
(1996)
Nieuw Arch. Wish.
, vol.4
, Issue.14
, pp. 199-207
-
-
Dabrowski, A.1
-
10
-
-
0000833825
-
A new series representation for ζ(3)
-
MR91d:11103
-
J.A. Ewell, A new series representation for ζ(3), Amer. Math. Monthly 97(1990), 219-220. MR91d:11103
-
(1990)
Amer. Math. Monthly
, vol.97
, pp. 219-220
-
-
Ewell, J.A.1
-
11
-
-
0002300225
-
On values of the Riemann Zeta function at integral arguments
-
MR 92c:11087
-
J.A. Ewell, On values of the Riemann Zeta function at integral arguments, Canad. Math. Bull. 34(1991), 60-66. MR 92c:11087
-
(1991)
Canad. Math. Bull.
, vol.34
, pp. 60-66
-
-
Ewell, J.A.1
-
12
-
-
84881277236
-
On the Zeta function values ζ (2k + 1), k = 1,2, ⋯
-
MR 97i:11093
-
J.A. Ewell, On the Zeta function values ζ (2k + 1), k = 1,2, ⋯, Rocky Mountain J. Math. 25(1995), 1003-1012. MR 97i:11093
-
(1995)
Rocky Mountain J. Math.
, vol.25
, pp. 1003-1012
-
-
Ewell, J.A.1
-
13
-
-
33646985508
-
Summations of certain numerical series
-
J.W.L. Glaisher, Summations of certain numerical series, Messenger Math. 42 (1912/1913), 19-34.
-
(1912)
Messenger Math.
, vol.42
, pp. 19-34
-
-
Glaisher, J.W.L.1
-
14
-
-
0011682696
-
Die Werte der Riemannschen Zetafunktion an ungeraden Argumenstellen
-
MR 42:7606
-
E. Grosswald, Die Werte der Riemannschen Zetafunktion an ungeraden Argumenstellen, Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II 1970(1970), 9-13. MR 42:7606
-
(1970)
Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II
, vol.1970
, pp. 9-13
-
-
Grosswald, E.1
-
15
-
-
0039966068
-
Comments on some formulae of Ramanujan
-
MR 46:1744
-
E. Grosswald, Comments on some formulae of Ramanujan, Acta Arith. 21(1972), 25-34. MR 46:1744
-
(1972)
Acta Arith.
, vol.21
, pp. 25-34
-
-
Grosswald, E.1
-
16
-
-
0003682848
-
-
Prentice-Hall, Englewood Cliffs, New Jersey, CMP 19:01
-
E.R. Hansen, A Table of Series and Products, Prentice-Hall, Englewood Cliffs, New Jersey, 1975. CMP 19:01
-
A Table of Series and Products
, vol.1975
-
-
Hansen, E.R.1
-
17
-
-
38249009861
-
On the Taylor expansion of the Lerch Zeta-function
-
MR 93k:11080
-
D. Klusch, On the Taylor expansion of the Lerch Zeta-function, J. Math. Anal. Appl. 170(1992), 513-523. MR 93k:11080
-
(1992)
J. Math. Anal. Appl.
, vol.170
, pp. 513-523
-
-
Klusch, D.1
-
18
-
-
33646980429
-
Application of the theory of sum-formulae to the investigation of a class of one-valued analytical functions in the theory of numbers
-
N.S. Koshliakov, Application of the theory of sum-formulae to the investigation of a class of one-valued analytical functions in the theory of numbers, Messenger Math. 58(1928/1929), 1-23.
-
(1928)
Messenger Math.
, vol.58
, pp. 1-23
-
-
Koshliakov, N.S.1
-
19
-
-
4243737968
-
Some new identities for ζ(k)
-
MR 83k:10072
-
D. Leshchiner, Some new identities for ζ(k), J. Number Theory 13(1981), 355-362. MR 83k:10072
-
(1981)
J. Number Theory
, vol.13
, pp. 355-362
-
-
Leshchiner, D.1
-
20
-
-
0003393811
-
-
Die Grundlehren der Mathematischen Wissenschaften in Einzeldarstellungen, Bd. 52, Third Enlarged Edition, Springer-Verlag, New York, MR 38:1291
-
W. Magnus, F. Oberhettinger, and R.P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics, Die Grundlehren der Mathematischen Wissenschaften in Einzeldarstellungen, Bd. 52, Third Enlarged Edition, Springer-Verlag, New York, 1966. MR 38:1291
-
(1966)
Formulas and Theorems for the Special Functions of Mathematical Physics
-
-
Magnus, W.1
Oberhettinger, F.2
Soni, R.P.3
-
22
-
-
84963015857
-
Notes on Riemann's C-function
-
V. Ramaswami, Notes on Riemann's C-function, J. London Math. Soc. 9(1934), 165-169.
-
(1934)
J. London Math. Soc.
, vol.9
, pp. 165-169
-
-
Ramaswami, V.1
-
23
-
-
0004155375
-
-
John Wiley and Sons, New York, London, and Sydney, MR 38:53
-
J. Riordan, Combinatorial Identities, John Wiley and Sons, New York, London, and Sydney, 1968. MR 38:53
-
(1968)
Combinatorial Identities
-
-
Riordan, J.1
-
24
-
-
0002676205
-
A unified presentation of certain classes of series of the Riemann Zeta function
-
MR 90h:11080
-
H.M. Srivastava, A unified presentation of certain classes of series of the Riemann Zeta function, Riv. Mat. Univ. Parma (4) 14(1988), 1-23. MR 90h:11080
-
(1988)
Riv. Mat. Univ. Parma
, vol.4
, Issue.14
, pp. 1-23
-
-
Srivastava, H.M.1
-
25
-
-
0039966060
-
Some formulas for the Riemann Zeta function at odd integer argument resulting from Fourier expansions of the Epstein Zeta function
-
MR 53:299
-
A. Terras, Some formulas for the Riemann Zeta function at odd integer argument resulting from Fourier expansions of the Epstein Zeta function, Acta Arith. 29(1976), 181-189. MR 53:299
-
(1976)
Acta Arith.
, vol.29
, pp. 181-189
-
-
Terras, A.1
-
26
-
-
0003669011
-
-
Oxford University (Clarendon) Press, Oxford and London, 1951; Second Edition (Revised by D.R. Heath-Brown), MR 88c:11049
-
E.G. Titchmarsh, The Theory of the Riemann Zeta-Function, Oxford University (Clarendon) Press, Oxford and London, 1951; Second Edition (Revised by D.R. Heath-Brown), 1986. MR 88c:11049
-
(1986)
The Theory of the Riemann Zeta-Function
-
-
Titchmarsh, E.G.1
-
27
-
-
0000894249
-
On evaluation of the Dirichlet series at positive integers by q-calculation
-
MR 96a:11083
-
H. Tsumura, On evaluation of the Dirichlet series at positive integers by q-calculation, J. Number Theory 48(1994), 383-391. MR 96a:11083
-
(1994)
J. Number Theory
, vol.48
, pp. 383-391
-
-
Tsumura, H.1
-
28
-
-
0001847762
-
A proof of Burnside's formula for Γ(x + 1) and certain allied properties of Riemann's ζ-function
-
J.R. Wilton, A proof of Burnside's formula for Γ(x + 1) and certain allied properties of Riemann's ζ-function, Messenger Math. 52(1922/1923), 90-93.
-
(1922)
Messenger Math.
, vol.52
, pp. 90-93
-
-
Wilton, J.R.1
-
29
-
-
84881570063
-
Some series representations of ζ(2n + 1)
-
MR 94m:11099
-
N.-Y. Zhang and K.S. Williams, Some series representations of ζ(2n + 1), Rocky Mountain J. Math. 23(1993), 1581-1592. MR 94m:11099
-
(1993)
Rocky Mountain J. Math.
, vol.23
, pp. 1581-1592
-
-
Zhang, N.-Y.1
Williams, K.S.2
-
30
-
-
84882849150
-
Some infinite series involving the Riemann Zeta function
-
H.M. Srivastava and Th. M. Rassias, Editors, Part II, pp. 691-712, Hadronic Press, Palm Harbor, Florida, MR 96a:11084
-
N.-Y. Zhang and K.S. Williams, Some infinite series involving the Riemann Zeta function, in Analysis, Geometry and Groups: A Riemann Legacy Volume (H.M. Srivastava and Th. M. Rassias, Editors), Part II, pp. 691-712, Hadronic Press, Palm Harbor, Florida, 1993. MR 96a:11084
-
(1993)
Analysis, Geometry and Groups: a Riemann Legacy Volume
-
-
Zhang, N.-Y.1
Williams, K.S.2
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