Adelic Voronoi summation and subconvexity for GL(2) L-functions in the depth aspect

被引：1
|
作者：
Assing, Edgar [1 ]
机构：
[1] Univ Bonn, Math Inst, Endenicher Allee 60, D-53115 Bonn, Germany
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2021年 / 17卷 / 07期
关键词：
Voronoi summation; subconvexity; depth aspect; automorphic representations;
D O I：
10.1142/S1793042121500470
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：1537 / 1568
页数：32
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