One transformation formula related to the Riemann zeta-function

被引：4

作者：

Laurincikas, A. ^{[1
]}

机构：

[1] Vilnius State Univ, Inst Math & Informat, Vilnius, Lithuania

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2008年 / 19卷 / 08期

关键词：

gamma-function; generalized divisor function; Mellin transform; Riemann zeta-function;

D O I：

10.1080/10652460802091534

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain a transformation formula for the function involving the generalized divisor function, the gamma-function and the Riemann zeta-function. This formula can be used to obtain meromorphic continuation for the Mellin transform of the square of the Riemann zeta-function.

引用

页码：577 / 583

页数：7