Selberg zeta-function associated to compact Riemann surface is prime
Ramūnas Garunkštis
Volume 62, no. 1
(2021),
pp. 213–218
https://doi.org/10.33044/revuma.1729
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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
only be trivial.