Rankin-Selberg coefficients in large arithmetic progressions

被引：0

作者：

Emmanuel Kowalski

Yongxiao Lin

Philippe Michel

机构：

[1] ETH Zürich,Department of Mathematics

[2] Shandong University,Data Science Institute

[3] EPFL/MATH/TAN,undefined

来源：

Science China Mathematics | 2023年 / 66卷

关键词：

arithmetic progressions; Rankin-Selberg ; -functions; -method; 11F11; 11N75;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let (λf (n))n⩾1 be the Hecke eigenvalues of either a holomorphic Hecke eigencuspform or a Hecke-Maass cusp form f. We prove that, for any fixed η > 0, under the Ramanujan-Petersson conjecture for GL2 Maass forms, the Rankin-Selberg coefficients (λf (n)2)n⩾1 admit a level of distribution θ = 2/5 + 1/260 − η in arithmetic progressions.

引用

页码：2767 / 2778

页数：11

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