Open AccessA transformation formula with primitive character
Author(s) -
Aidas Balčiūnas
Publication year - 2013
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.a.2013.04
Subject(s) - character (mathematics) , mathematics , transformation (genetics) , meromorphic function , modulo , divisor (algebraic geometry) , continuation , mellin transform , function (biology) , pure mathematics , dirichlet series , dirichlet distribution , combinatorics , mathematical analysis , laplace transform , computer science , geometry , biochemistry , chemistry , evolutionary biology , biology , gene , programming language , boundary value problem
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.