Double Lerch series and their functional relations

被引：11

作者：

Nakamura, Takashi ^{[1
]}

机构：

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

来源：

AEQUATIONES MATHEMATICAE | 2008年 / 75卷 / 03期

关键词：

Double Lerch series; double Dirichlet series; functional relation; alternating analogues of Tornheim's double series; double L-values;

D O I：

10.1007/s00010-007-2921-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show an integral representation and a functional relation for double Lerch series. We also show a functional relation for double Dirichlet series. By this functional relation for double Lerch series, we obtain explicit formulas for special values of alternating analogues of Tornheim's double series and double L-values.

引用

页码：251 / 259

页数：9

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