Ernvall-Hytonen, Anne-Maria; Odžak, Almasa On a class of periodic Dirichlet series with functional equation. (English) Zbl 1441.11232 Math. Commun. 25, No. 1, 35-47 (2020). 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 Keywords:periodic Dirichlet series; degree one \(L\)-functions; functional equations for \(L\)-functions PDF BibTeX XML Cite \textit{A.-M. Ernvall-Hytonen} and \textit{A. Odžak}, Math. Commun. 25, No. 1, 35--47 (2020; Zbl 1441.11232) Full Text: Link