A generalization of the duality and sum formulas on the multiple zeta values

被引：120

作者：

Ohno, Y ^{[1
]}

机构：

[1] Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 5600043, Japan

来源：

JOURNAL OF NUMBER THEORY | 1999年 / 74卷 / 01期

关键词：

D O I：

10.1006/jnth.1998.2314

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we present a relation among the multiple zeta values which generalizes simultaneously the "sum formula" and the "duality" theorem. As an application, we give a formula for the special values at positive integral points of a certain zeta function of Arakawa and Kaneko in terms of multiple harmonic series. (C) 1999 Academic Press.

引用

页码：39 / 43

页数：5

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