ANALYTIC CONTINUATION OF MULTIPLE ZETA-FUNCTIONS AND THE ASYMPTOTIC BEHAVIOR AT NON-POSITIVE INTEGERS

被引：12

作者：

Onozuka, Tomokazu ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2013年 / 49卷 / 02期

关键词：

multiple zeta function; analytic continuation; asymptotic behavior;

D O I：

10.7169/facm/2013.49.2.11

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a result on the asymptotic behavior of multiple zeta-functions near non-positive integers. By using that result, we evaluate limit values of multiple zeta-functions at non-positive integers.

引用

页码：331 / 348

页数：18

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