Work

Decompositions of the extended Selberg class functions

Year: 2025

Type: article

Abstract: Let F ( s ) F\left(s) be a function from the extended Selberg class. We consider decompositions F ( s ) = f ( h ( s ) ) F\left(s)=f\left(h\left(s)) , where f f and h h are meromorphic functions. Among other things, we show that F F is prime if and only if the greatest common divisor of the orders of all zeros and the pole of F F is 1.

Source: Open Mathematics

DOI: 10.1515/math-2025-0177

Authors: Ramūnas Garunkštis, Tadas Panavas, Raivydas Šimenas

Institutions: Vilnius University, Utenos kolegija Higher Education Institution

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,187

Funder: Lietuvos Mokslo Taryba