A large sieve inequality of Elliott-Montgomery-Vaughan type for automorphic forms on GL3

被引：2

作者：

Xiao, Xuanxuan ^{[1
]}

Xu, Zhao ^{[2
]}

机构：

[1] Macau Univ Sci & Technol, Fac Informat Technol, Macau, Peoples R China

[2] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2019年 / 35卷 / 06期

关键词：

Large sieve inequality; Hecke relation; sign changes; CUSP FORMS;

D O I：

10.4171/RMI/1098

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We get a large sieve inequality of Elliott-Montgomery-Vaughan type for automorphic forms on GL(3) in short intervals. As an application, we give a statistical result of sign changes for Hecke eigenvalues A(j)(p,p).

引用

页码：1693 / 1714

页数：22

共 5 条

[1] A Large Sieve Inequality of Elliott-Montgomery-Vaughan Type for Automorphic Forms and Two Applications
Lau, Y. -K.
Wu, J.
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2008, 2008
[2] A large sieve inequality of Elliott-Montgomery-Vaughan type for Maass forms on GL(n, R) with applications
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Ng, Ming Ho
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REVISTA MATEMATICA IBEROAMERICANA, 2021, 37 (04) : 1539 - 1552
[3] A large sieve inequality of Elliott-Montgomery-Vaughan type for Maass forms with applications to Linnik's problem
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JOURNAL OF NUMBER THEORY, 2014, 136 : 65 - 86
[4] Bilinear Forms with GL3 Kloosterman Sums and the Spectral Large Sieve
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INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2016, 2016 (21) : 6453 - 6492
[5] Analytic Twists of GL3 x GL2 Automorphic Forms
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INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, 2021 (19) : 15143 - 15208

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