Hurwitz Zeta Function Is Prime-Reference-Cited by-同舟云学术

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Hurwitz Zeta Function Is Prime

Published:2023-02-25 Issue:5 Volume:11 Page:1150
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Dundulis Marius¹,Garunkštis Ramūnas²^ORCID,Karikovas Erikas²,Šimėnas Raivydas²^ORCID

Affiliation:

1. Euromonitor International, Jogailos g. 4, LT-01116 Vilnius, Lithuania

2. Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Naugarduko Str. 24, LT-03225 Vilnius, Lithuania

Abstract

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

Funder

Lietuvos Mokslo Taryba

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/5/1150/pdf

Reference27 articles.

1. Rosenbloom, P.C. (1952). The fix-points of entire functions. Comm. Sém. Math. Univ. Lund [Medd. Lunds Univ. Mat. Sem.], 186–192.

2. On factorization of meromorphic functions;Gross;Trans. Am. Math. Soc.,1968

3. On some new properties of the gamma function and the Riemann zeta function;Liao;Math. Nachrichten,2003

4. Einige Eigenschaften der Dirichlet uschen Funktionen F(s)=∑(Dn) · 1ns, die bei der Bestimmung der Klassenanzahlen binärer quadratischer Formen auftreten;Hurwitz;Z. Math. Phys.,1882

5. Apostol, T.M. (1976). Introduction to Analytic Number Theory, Springer. Undergraduate Texts in Mathematics.

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