The Hurwitz zeta function as a convergent series

被引：4

作者：

Dwilewicz, Roman ^{[1
]}

Minac, Jan

机构：

[1] Univ Missouri, Dept Math & Stat, Rolla, MO 65409 USA

[2] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland

[3] Univ Western Ontario, Dept Math, London, ON N6A 5B7, Canada

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2006年 / 36卷 / 04期

关键词：

Hurwitz zeta function; Bernoulli polynomials; Bernoulli numbers;

D O I：

10.1216/rmjm/1181069411

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

New series for the Hurwitz zeta function which converge on the whole plane, except s = 1, are developed. This is applied to obtain a remarkably simple evaluation of some special values of the function.

引用

页码：1191 / 1219

页数：29

共 50 条

[31] New inequalities for the Hurwitz zeta function
Necdet Batir
Proceedings Mathematical Sciences, 2008, 118 : 495 - 503
[32] SUMS OF DIGITS AND THE HURWITZ ZETA FUNCTION
ALLOUCHE, JP
SHALLIT, J
LECTURE NOTES IN MATHEMATICS, 1990, 1434 : 19 - 30
[33] On the Poincaré expansion of the Hurwitz zeta function
Bujar Fejzullahu
Lithuanian Mathematical Journal, 2021, 61 : 460 - 470
[34] Sums Involving the Hurwitz Zeta Function
Shigeru Kanemitsu
Hiroshi Kumagai
Masami Yoshimoto
The Ramanujan Journal, 2001, 5 : 5 - 19
[35] Sums involving the Hurwitz zeta function
Kanemitsu, S
Kumagai, H
Yoshimoto, M
RAMANUJAN JOURNAL, 2001, 5 (01): : 5 - 19
[36] REMARK ON THE HURWITZ ZETA-FUNCTION
APOSTOL, TM
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 57 (05) : 370 - 370
[37] Real zeros of the Hurwitz zeta function
Matsusaka, Toshiki
ACTA ARITHMETICA, 2018, 183 (01) : 53 - 62
[38] Some Approximations with Hurwitz Zeta Function
Aygunes, Aykut Ahmet
FILOMAT, 2020, 34 (02) : 528 - 534
[39] Sharp inequalities for the Hurwitz zeta function
Alzer, H
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2005, 35 (02) : 391 - 399
[40] Vanishing of the integral of the Hurwitz zeta function
Broughan, KA
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2002, 65 (01) : 121 - 127

← 1 2 3 4 5 →