an:07200854
Zbl 1441.11232
Ernvall-Hytonen, Anne-Maria; Od??ak, Almasa
On a class of periodic Dirichlet series with functional equation
EN
Math. Commun. 25, No. 1, 35-47 (2020).
00449225
2020
j
11M41 30B50
periodic Dirichlet series; degree one \(L\)-functions; functional equations for \(L\)-functions
Summary: The structure of the extended Selberg class of degree one was completely revealed by \textit{J. Kaczorowski} and \textit{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.
Zbl 1126.11335