Selberg zeta-function associated to compact Riemann surface is prime

Authors

  • Ramūnas Garunkštis Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, 03225 Vilnius, Lithuania

DOI:

https://doi.org/10.33044/revuma.1729

Abstract

Let $Z(s)$ be the Selberg zeta-function associated to a compact Riemann surface. We consider decompositions $Z(s)=f(h(s))$, where $f$ and $h$ are meromorphic functions, and show that such decompositions can be only trivial.

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Published

2021-06-04

Issue

Vol. 62 No. 1 (2021)

Section

Article

License

Copyright (c) 2021 Ramunas Garunkstis

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