Mathematics > Number Theory
[Submitted on 2 May 2018 (v1), last revised 12 Jan 2021 (this version, v2)]
Title:Adelic Voronoi Summation and Subconvexity for GL(2) L-Functions in the depth Aspect
View PDFAbstract:In this paper we establish a very flexible and explicit Voronoi summation formula. This is then used to prove an almost Weyl strength subconvexity result for automorphic $L$-functions of degree two in the depth aspect. That is, looking at twists by characters of prime power conductor. This is the natural $p$-adic analogue to the well studied $t$-aspect.
Submission history
From: Edgar Assing [view email][v1] Wed, 2 May 2018 18:40:18 UTC (22 KB)
[v2] Tue, 12 Jan 2021 13:14:29 UTC (25 KB)
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