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Simple functional equations for generalized Selberg zeta functions with Tate motives (2011.08427v1)
Published 17 Nov 2020 in math.NT
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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