Applications of the Kuznetsov formula on GL(3)

被引：33
作者：
Blomer, Valentin [1 ]
机构：
[1] Math Inst, D-37073 Gottingen, Germany
来源：
INVENTIONES MATHEMATICAE | 2013年 / 194卷 / 03期
基金：
欧洲研究理事会;
关键词：
Kuznetsov formula; Spectral decomposition; Poincare series; Whittaker functions; Kloosterman sums; Moments of L-functions; Weyl's law; Exceptional eigenvalues; Large sieve; KLOOSTERMAN SUMS; POINCARE-SERIES; FOURIER COEFFICIENTS; ASYMPTOTIC FORMULA; CUSP FORMS; EXISTENCE; LINNIK;
D O I：
10.1007/s00222-013-0454-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop a fairly explicit Kuznetsov formula on GL(3) and discuss the analytic behavior of the test functions on both sides. Applications to Weyl's law, exceptional eigenvalues, a large sieve and L-functions are given.
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收藏
页码：673 / 729
页数：57
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