The Fourier coeffcients of Θ‐series in arithmetic progressions

The Fourier coeffcients of Θ‐series in arithmetic progressions
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算术级数中 Σ 级数的傅里叶系数

DOI:
10.1112/mtk.12006
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发表时间:
2020
期刊:
影响因子:
0.8
通讯作者:
Lü Guangshi
Lü Guangshi
中科院分区:
数学3区
文献类型:
--
作者:
Hu Guangwei;Jiang Yujiao;Lü Guangshi

文献摘要

被引文献

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本文首先研究了等差数列中Θ-级数的Fourier系数及其应用。其次,我们引入了一个相当简单的论证,改进了关于θ-级数和θ-级数的尖点形式的Fourier系数的移位卷积和的一些结果.
In this paper, we first study the Fourier coefficients of Θ‐series in arithmetic progressions and its applications. Secondly, we introduce a rather simple argument to improve some results on the shifted convolution sums of the Fourier coefficients of a cusp form fororand a Θ‐series.