References & Citations
Mathematics > Number Theory
Title: Bessel Periods on $U(2,1) \times U(1,1)$, Relative Trace Formula and Non-Vanishing of Central L-values
(Submitted on 15 Sep 2023 (v1), revised 21 Nov 2023 (this version, v2), latest version 17 May 2024 (v4))
Abstract: In this paper, we calculate the asymptotics of the second moment of Bessel periods associated to holomorphic discrete series $(\pi,\pi')$ on $U(2,1)\times U(1,1)$ (averaged over $\pi$). Using these, we obtain quantitative non-vanishing results for the Rankin-Selberg central values $L(1/2,\pi\times\pi')$ which arise in the Gan-Gross-Prasad conjectures.
Submission history
From: Philippe Michel G [view email][v1] Fri, 15 Sep 2023 15:49:59 GMT (2091kb)
[v2] Tue, 21 Nov 2023 14:57:01 GMT (2055kb)
[v3] Fri, 26 Apr 2024 09:05:26 GMT (144kb)
[v4] Fri, 17 May 2024 09:53:19 GMT (144kb)
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