Generalized Mahler measures and multiple sine functions

被引：6

作者：

Gon, Y ^{[1
]}

Oyanagi, H

机构：

[1] Kyushu Univ, Grad Sch Math, Fukuoka 8128581, Japan

[2] Tokyo Inst Technol, Dept Math, Tokyo 1528551, Japan

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2004年 / 15卷 / 05期

关键词：

Mahler measure; zeta function; multiple sine function;

D O I：

10.1142/S0129167X04002363

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a generalized Mahler measure. It has relations to multiple sine functions and Dirichlet L-functions. In particular, we are able to express special values of Dirichlet L-functions by sum of logarithmic generalized Mahler measures.

引用

页码：425 / 442

页数：18

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