A transformation formula with primitive character | Zendy

Aidas Balčiūnas | Zendy

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A 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.

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