Some infinite series involving arithmetic functions

被引：0

作者：

Muthumalai, Ramesh Kumar ^{[1
]}

机构：

[1] Saveetha Engn Coll, Dept Math, Saveetha Nagar, Madras 602105, Tamil Nadu, India

来源：

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2015年 / 21卷 / 02期

关键词：

Moobius function; Arithmetic function; Jacobi symbol; Dirichlet series; Infinite series;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some identities for infinite series involving arithmetic functions are derived through Jacobi symbols (-1 vertical bar k) and (2 vertical bar k). Using these identities, some Dirichlet series are expressed in terms of Hurwitz zeta function.

引用

页码：8 / 14

页数：7

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