The first derivative multiple zeta values at non-positive integers

被引：2

作者：

Sasaki, Yoshitaka ^{[1
]}

机构：

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

来源：

RAMANUJAN JOURNAL | 2010年 / 21卷 / 03期

关键词：

Multiple zeta-function; Analytic continuation; ANALYTIC CONTINUATION;

D O I：

10.1007/s11139-009-9201-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we prove some explicit results for the first derivative multiple zeta values at non-positive integers and apply them to a certain classical problem in number theory which was studied and developed by E. Hecke, A. Fujii and K. Matsumoto. Further, we consider the relation between regular values and reverse values for the multiple zeta-function via a certain functional relation.

引用

页码：267 / 284

页数：18

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