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arXiv · 1805.00974

Adelic Voronoi Summation and Subconvexity for GL(2) L-Functions in the depth Aspect

Edgar Assing
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Abstract

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.

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Edgar Assing. 2018-05-02. Adelic Voronoi Summation and Subconvexity for GL(2) L-Functions in the depth Aspect. https://doi.org/10.1142/s1793042121500470

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