Simple functional equations for generalized Selberg zeta functions with Tate motives

Shin-ya Koyama; Nobushige Kurokawa

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arXiv · 2011.08427

Simple functional equations for generalized Selberg zeta functions with Tate motives

Shin-ya Koyama·Nobushige Kurokawa

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Abstract

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

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Shin-ya Koyama, Nobushige Kurokawa. 2020-11-17. Simple functional equations for generalized Selberg zeta functions with Tate motives. https://arxiv.org/abs/2011.08427

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