Title Decompositions of the extended Selberg class functions
Authors Garunkštis, Ramūnas ; Panavas, Tadas ; Šimėnas, Raivydas
DOI 10.1515/math-2025-0177
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Is Part of Open mathematics.. Warsaw : De Gruyter. 2025, vol. 23, iss. 1, p. [1-15].. eISSN 2391-5455
Keywords [eng] extended Selberg class ; prime functions ; decompositions
Abstract [eng] Let F ( s ) be a function from the extended Selberg class. We consider decompositions F ( s ) = f ( h ( s ) ) , where f and h are meromorphic functions. Among other things, we show that F is prime if and only if the greatest common divisor of the orders of all zeros and the pole of F is 1.
Published Warsaw : De Gruyter
Type Journal article
Language English
Publication date 2025
CC license CC license description