On a class of periodic Dirichlet series with functional equation
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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PDFISSN: 1331-0623 (Print), 1848-8013 (Online)