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;
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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.
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页码：2767 / 2778
页数：11
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