Some Notes on Identities for Dirichlet L-functions

被引：4

作者：

Ma, Rong ^{[1
]}

Zhang, Yu Long ^{[2
]}

Gruetzmann, Melchior ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Sch Sci, Xian 710072, Peoples R China

[2] Xi An Jiao Tong Univ, Sch Elect & Informat Engn, Xian 710049, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2014年 / 30卷 / 05期

关键词：

Dirichlet L-functions; Dedekind sum; trigonometric formula; Mobius inversion formula; VALUES;

D O I：

10.1007/s10114-014-2642-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let q >= 3 be an integer, and chi be a Dirichlet character modulo q, L(s, chi) denote the Dirichlet L-function corresponding to chi. In this paper, we show some early information on the mean value of the Dirichlet L-functions and give some new identities for Sigma(chi mod q chi(-1)=-1) chi(a)vertical bar L(1, chi)vertical bar(2), where a = 2, 3, or 4. Then we give general identities for the case that the integer a divides q - 1.

引用

页码：747 / 754

页数：8

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