论文标题

具有TATE动机的广义Selberg Zeta函数的简单功能方程

Simple functional equations for generalized Selberg zeta functions with Tate motives

论文作者

Koyama, Shin-ya, Kurokawa, Nobushige

论文摘要

我们证明,对于紧凑的本地对称的Riemannian空间,排名1的$ M $ M $存在无限的许多自动形态泰特动机$ f $ $ f $,使得广义的Selberg Zeta函数$ z_ {m(f)}(s)(s)$满足一个简单的功能方程,从而没有γ因子。

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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