A transformation formula related to Dirichlet L-functions with principal character

Lietuvos Matematikos Rinkinys

Aidas Balčiūnas¹ 

[1] Vilnius University;

关键词: Dirichlet L-function;    Estermann zeta-function;    Lerch zeta-function;   

DOI  :  10.15388/LMR.A.2012.03

来源: DOAJ

【 摘 要 】

We prove a transformation formula for the function for the exponential sum involving the divisor function. This formula can be applied to obtain meromorphic continuation for the Mellin transform of the square of Dirichlet L-function with principal character.

【 授权许可】

Unknown