Adelic Voronoi Summation and Subconvexity for GL(2) L-Functions in the depth Aspect
Number Theory
2021-01-13 v2
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 -functions of degree two in the depth aspect. That is, looking at twists by characters of prime power conductor. This is the natural -adic analogue to the well studied -aspect.
Cite
@article{arxiv.1805.00974,
title = {Adelic Voronoi Summation and Subconvexity for GL(2) L-Functions in the depth Aspect},
author = {Edgar Assing},
journal= {arXiv preprint arXiv:1805.00974},
year = {2021}
}
Comments
30 pages, v2: new title and improved exposition