加权平均集的移位卷积和

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematika Pub Date : 2024-03-29 DOI:10.1112/mtk.12247

Wing Hong Leung

引用次数: 0

摘要

设为 Hecke-Maass cusp 形式的傅立叶系数，为 Hecke 全形或 Hecke-Maass cusp 形式的傅立叶系数。设和是一个序列。我们证明，如果对于某个、

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Shifted convolution sums for averaged over weighted sets

Let be the Fourier coefficients of an Hecke–Maass cusp form and be those of an Hecke holomorphic or Hecke–Maass cusp form . Let and be a sequence. We show that if for some ,

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来源期刊

Mathematika MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematika publishes both pure and applied mathematical articles and has done so continuously since its founding by Harold Davenport in the 1950s. The traditional emphasis has been towards the purer side of mathematics but applied mathematics and articles addressing both aspects are equally welcome. The journal is published by the London Mathematical Society, on behalf of its owner University College London, and will continue to publish research papers of the highest mathematical quality.