A BESSEL DELTA METHOD AND EXPONENTIAL SUMS FOR GL(2)

被引：11

作者：

Aggarwal, Keshav ^{[1
]}

Holowinsky, Roman ^{[2
]}

Lin, Yongxiao ^{[3
]}

Qi, Zhi ^{[4
]}

机构：

[1] Univ Maine, Dept Math & Stat, 5752 Neville Hall, Orono, ME 04469 USA

[2] Ohio State Univ, Dept Math, 231 W 18th Ave, Columbus, OH 43210 USA

[3] EPFL SB MATHGEOM TAN, Stn 8, CH-1015 Lausanne, Switzerland

[4] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Peoples R China

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2020年 / 71卷 / 03期

基金：

瑞士国家科学基金会;

关键词：

CUSP FORM COEFFICIENTS; FOURIER COEFFICIENTS; T-ASPECT; SUBCONVEXITY; BOUNDS;

D O I：

10.1093/qmathj/haaa026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a simple Bessel delta-method to the theory of exponential sums for GL(2). Some results of Jutila on exponential sums are generalized in a less technical manner to holomorphic newforms of arbitrary level and nebentypus. In particular, this gives a short proof for the Weyl-type subconvex bound in the t-aspect for the associated L-functions.

引用

页码：1143 / 1168

页数：26

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