Number of proportions of Hecke eigenvalues in two newforms

被引：1
|
作者：
Choi, Dohoon [1 ]
Lee, Youngmin [2 ]
机构：
[1] Korea Univ, Dept Math, 145 Anam Ro, Seoul 02841, South Korea
[2] Korea Inst Adv Study, Sch Math, 85 Hoegiro, Seoul 02455, South Korea
来源：
JOURNAL OF NUMBER THEORY | 2023年 / 249卷
基金：
新加坡国家研究基金会;
关键词：
Hecke eigenvalues; Galois representations;
D O I：
10.1016/j.jnt.2023.01.016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let f(1) and f(2) be nonzero Hecke eigenforms on SL2(Z). For X > 0, let B(f(1), f(2), X) be the number of ratios of lambda(1)(p) to lambda(2)(p) for primes p <= X, where lambda(i)(p) denotes the Hecke eigenvalue of f(i) at p. In this paper, we prove that if f(1) is not a constant multiple of f(2), then B(f(1), f(2), X) >>(f1,f2) (log X)(1/15). (c) 2023 Elsevier Inc. All rights reserved.
引用
收藏
页码：1 / 20
页数：20
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