A transformation formula with primitive character
Articles
Aidas Balčiūnas
Vilnius University
Published 2013-12-15
https://doi.org/10.15388/LMR.A.2013.04
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Keywords

Dirichlet $L$-function
Estermann zeta-function
Mellin transform

How to Cite

Balčiūnas A. (2013) “A transformation formula with primitive character”, Lietuvos matematikos rinkinys, 54(A), pp. 6–11. doi: 10.15388/LMR.A.2013.04.

Abstract

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.

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