On a class of periodic Dirichlet series with functional equation

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


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.


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

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ISSN: 1331-0623 (Print), 1848-8013 (Online)