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
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.