Analytic continuation of multiple zeta functions

被引：93

作者：

Zhao, JQ ^{[1
]}

机构：

[1] Brown Univ, Dept Math, Providence, RI 02912 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 05期

关键词：

analytic continuation; multiple zeta function; generalized function;

D O I：

10.1090/S0002-9939-99-05398-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we shall define the analytic continuation of the multiple (Euler-Riemann-Zagier) zeta functions of depth d: [GRAPHICS] where Re (s(d)) > 1 and Sigma(j=1)(d) Re (s(j)) > d. We shall also study their behavior near the poles and pose some open problems concerning their zeros and functional equations at the end.

引用

页码：1275 / 1283

页数：9

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