Euler product expression of triple zeta functions

被引：3

作者：

Akatsuka, H ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2005年 / 16卷 / 02期

关键词：

Euler product; absolute tenser product; multiple zeta function; multiple sine function;

D O I：

10.1142/S0129167X05002825

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct multiple zeta functions considered as absolute tenser products of usual zeta functions. We establish Euler product expressions for triple zeta functions zeta(s, F-p) circle times zeta(s, F-q) circle times zeta(s, F-r) with p, q, r distinct primes, via multiple sine functions by using the signatured Poisson summation formula. We also establish Euler product expressions for triple zeta functions zeta(s, F-p) circle times zeta(s, F-p) circle times zeta(s, F-p) with a prime p, via the theory of multiple sine functions.

引用

页码：111 / 136

页数：26

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