Multiple harmonic series related to multiple Euler numbers

被引：6

作者：

Tsumura, H ^{[1
]}

机构：

[1] Tokyo Metropolitan Coll, Dept Management Informat, Tokyo 1968540, Japan

来源：

JOURNAL OF NUMBER THEORY | 2004年 / 106卷 / 01期

关键词：

multiple harmonic series; Tornheim's double series; Euler numbers; Bernoulli numbers; Riemann zeta function; Mordell-Tornheim zeta functions;

D O I：

10.1016/j.jnt.2003.12.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we define the multiple Euler numbers and consider some multiple harmonic series of Mordell-Tornheim's type, which is a Partial sum of the Mordell-Tornheim zeta series defined by Matsumoto. Indeed, we prove a certain reducibility of these series as well as the multiple zeta values. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：155 / 168

页数：14

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