Sums associated with the zeta function

被引：22

作者：

Choi, J ^{[1
]}

Srivastava, HM ^{[1
]}

机构：

[1] UNIV VICTORIA,DEPT MATH & STAT,VICTORIA,BC V8W 3P4,CANADA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1997年 / 206卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1006/jmaa.1997.5198

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We evaluate the sums of certain classes of series involving the Riemann zeta function by using the theory of the double gamma function, which has recently been revived in the study of determinants of Laplacians. Relevant connections with various known results are also pointed out. (C) 1997 Academic Press.

引用

页码：103 / 120

页数：18

共 25 条

[1] [Anonymous], YOKOHAMA MATH J
[2] [Anonymous], 1979, JOURNEES ARITHMETIQU
[3] [Anonymous], 1894, LEIPZIG WEIDMANNSCHE
[4] [Anonymous], 1980, Gos. Izd-vo Fiz.-Mat. Literatury
[5] [Anonymous], MATH STUDENT
[6] Barnes E., 1899, Q. J. Math, V31, P264
[7] Barnes E., 1899, P LOND MATH SOC, V31, P358, DOI 10.1112/plms/s1-31.1.358
[8] The theory of the double gamma function
Barnes, EW
[J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL OR PHYSICAL CHARACTER, 1901, 196 : 265 - 387
[9] Choi J., 1994, MATH JAPON, V40, P155
[10] SOME SERIES INVOLVING THE ZETA-FUNCTION
CHOI, JS
SRIVASTAVA, HM
QUINE, JR
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1995, 51 (03) : 383 - 393

← 1 2 3 →