A class of relations among multiple zeta values

被引：33

作者：

Kawashima, Gaku ^{[1
]}

机构：

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

来源：

JOURNAL OF NUMBER THEORY | 2009年 / 129卷 / 04期

关键词：

Multiple zeta value; Newton series; Ohno's relation; HARMONIC SERIES; DUALITY; ALGEBRA; SUM;

D O I：

10.1016/j.jnt.2008.11.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a new class of relations among multiple zeta values (MZV's) which contains Ohno's relation. We also give the formula for the maximal number of independent MZV's of fixed weight, under our new relations. To derive our formula for MZV's, we consider the Newton series whose values at non-negative integers are finite multiple harmonic sums. (C) 2009 Published by Elsevier Inc.

引用

页码：755 / 788

页数：34

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