Multiple zeta functions: the double sine function anal the signed double Poisson summation formula

被引：10

作者：

Koyama, S ^{[1
]}

Kurokawa, N

机构：

[1] Keio Univ, Dept Math, Yokohama, Kanagawa 2238522, Japan

[2] Tokyo Inst Technol, Dept Math, Tokyo 1528551, Japan

来源：

COMPOSITIO MATHEMATICA | 2004年 / 140卷 / 05期

关键词：

zeta function; multiple zeta function; multiple sine function;

D O I：

10.1112/S0010437X04000521

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct multiple zeta functions as absolute tensor products of usual zeta functions. The Euler product expression is established for the most basic case zeta(s, F-p) x zeta(s, F-q) by using the signed double Poisson summation formula and the theory of the double sine function.

引用

页码：1176 / 1190

页数：15

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