English

On primeness of the Selberg zeta-function

Number Theory 2019-08-09 v1

Abstract

In this note we prove that the Selberg zeta-function associated to a compact Riemann surface is pseudo-prime and right-prime in the sense of a decomposition.

Keywords

Cite

@article{arxiv.1908.03108,
  title  = {On primeness of the Selberg zeta-function},
  author = {Ramūnas Garunkštis and Jörn Steuding},
  journal= {arXiv preprint arXiv:1908.03108},
  year   = {2019}
}

Comments

To appear in Hokkaido Mathematical Journal

R2 v1 2026-06-23T10:43:02.973Z