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On a class of periodic Dirichlet series with functional equation. (English) Zbl 1441.11232
Summary: The structure of the extended Selberg class of degree one was completely revealed by J. Kaczorowski and A. Perelli [Acta Math. 182, No. 2, 207–241 (1999; Zbl 1126.11335)]. In this short paper, we give a new characterization of the functions with periodic coefficients in that class by giving a simple relation that the coefficients have to satisfy.
MSC:
11M41 Other Dirichlet series and zeta functions
30B50 Dirichlet series, exponential series and other series in one complex variable
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