Open AccessA transformation formula related to Dirichlet L-functions with principal character
Author(s) -
Aidas Balčiūnas
Publication year - 2012
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.a.2012.03
Subject(s) - character (mathematics) , mathematics , meromorphic function , transformation (genetics) , l function , mellin transform , dirichlet series , function (biology) , analytic continuation , mellin inversion theorem , pure mathematics , dirichlet l function , dirichlet distribution , principal (computer security) , divisor (algebraic geometry) , mathematical analysis , fourier transform , fourier analysis , boundary value problem , computer science , biochemistry , chemistry , geometry , evolutionary biology , biology , fractional fourier transform , gene , operating system
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.