On comparing Hecke eigenvalues of cusp forms

被引：13
作者：
Lao, H. X. [1 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
来源：
ACTA MATHEMATICA HUNGARICA | 2020年 / 160卷 / 01期
关键词：
Fourier coefficient; cusp form; symmetric power; cuspidal representation; FOURIER COEFFICIENTS; FUNCTORIALITY; SUMS;
D O I：
10.1007/s10474-019-00996-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let f(z) be a primitive holomorphic cusp form of even integral weight k for the full modular group. Denote its nth Hecke eigenvalue or normalized Fourier coefficient by lambda f(n)with1 <= j <= 8 has analytic density at least 116[j+12]2, and the set {p|lambda f(pj)2<lambda g(pj)2}with1 <= j <= 4 has analytic density at least 14j(j+1)2.
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页码：58 / 71
页数：14
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