Hurwitz Zeta Function Is Prime

Marius Dundulis, Ramūnas Garunkštis, Erikas Karikovas and Raivydas Šimėnas ()
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Marius Dundulis: Euromonitor International, Jogailos g. 4, LT-01116 Vilnius, Lithuania
Ramūnas Garunkštis: Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Naugarduko Str. 24, LT-03225 Vilnius, Lithuania
Erikas Karikovas: Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Naugarduko Str. 24, LT-03225 Vilnius, Lithuania
Raivydas Šimėnas: Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Naugarduko Str. 24, LT-03225 Vilnius, Lithuania

Mathematics, 2023, vol. 11, issue 5, 1-9

Abstract: We proved that the Hurwitz zeta function is prime. In addition, we derived the Nevanlinna characteristic for this function.

Keywords: Hurwitz zeta function; prime functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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