On a class of periodic Dirichlet series with functional equation

Anne-Maria Ernvall-Hytonen; Almasa Odžak; Lejla Smajlović

Vol. 25 No. 1 (2020)

Regular Articles

On a class of periodic Dirichlet series with functional equation

Published 2020-03-11

Anne-Maria Ernvall-Hytonen
Almasa Odžak
Lejla Smajlović

Anne-Maria Ernvall-Hytonen
Matematik och Statistik, Abo Akademi University

Almasa Odžak
University of Sarajevo

Lejla Smajlović
University of Sarajevo

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Abstract

The structure of the extended Selberg class of degree one was completely revealed by Kaczorowski and Perelli. In this short paper, we give a new characterizationof the functions with periodic coefficients in that class by giving a simple relation that the coefficients have to satisfy.

Keywords

periodic Dirichlet series, degree one L functions, functional equations for L functions

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