A transformation formula with primitive character

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

Bibliographic Details
Main Author: Aidas Balčiūnas
Format: Article
Language:English
Published: Vilnius University Press 2013-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/14875