A new integral representation of the Riemann zeta function

被引：1

作者：

Wu, YF ^{[1
]}

机构：

[1] Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2004年 / 34卷 / 03期

关键词：

integral representations; series; Riemann zeta function; residue theorem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The series SigmaZ(n=1)(infinity)(1/n(l+1))e(-zk/nk), k is any positive integer, l is a positive odd number and l less than or equal to 2k - 1, is studied, and for each pair (k, l), an integral representation of the Riemann zeta function is given. For small pairs, this provides known representations.

引用

页码：1177 / 1189

页数：13