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