References & Citations
Mathematics > Number Theory
Title: Non-vanishing of geodesic periods of automorphic forms
(Submitted on 19 Apr 2024)
Abstract: We prove that one hundred percent of closed geodesic periods of a Maa{\ss} form for the modular group are non-vanishing when ordered by length. We present applications to the non-vanishing of central values of Rankin--Selberg $L$-functions. Similar results for holomorphic forms for general Fuchsian groups of the first kind with a cusp are also obtained, as well as results towards normal distribution.
Submission history
From: Petru Constantinescu [view email][v1] Fri, 19 Apr 2024 16:25:44 GMT (108kb)
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