English

Simple functional equations for generalized Selberg zeta functions with Tate motives

Number Theory 2020-11-18 v1

Abstract

We prove that for a compact locally symmetric Riemannian space MM of rank 1 there exist infinitely many automorphic Tate motives ff such that the generalized Selberg zeta function ZM(f)(s)Z_{M(f)}(s) satisfies a simple functional equation in the sense that it has no gamma factors.

Keywords

Cite

@article{arxiv.2011.08427,
  title  = {Simple functional equations for generalized Selberg zeta functions with Tate motives},
  author = {Shin-ya Koyama and Nobushige Kurokawa},
  journal= {arXiv preprint arXiv:2011.08427},
  year   = {2020}
}
R2 v1 2026-06-23T20:18:21.734Z