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

页码：1 / 20

页数：20

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