特殊序列上尖顶形式的傅里叶系数

IF 0.5 3区数学 Q3 MATHEMATICS

International Journal of Number Theory Pub Date : 2024-03-21 DOI:10.1142/s1793042124500568

Weili Yao

引用次数: 0

摘要

在本文中，我们研究了在具有固定数目的不同素除数的整数上，原始尖顶形式 f 的归一化傅里叶系数的平方及其对称提升，并给出了它们在短区间内的渐近公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Fourier coefficients of cusp forms on special sequences

In this paper, we investigate the square of the normalized Fourier coefficients of the primitive cusp forms $f$ and its symmetric-lift at integers with a fixed number of distinct prime divisors, and present asymptotic formulas for them in short intervals.

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来源期刊

International Journal of Number Theory 数学-数学

CiteScore

1.10

自引率

14.30%

发文量

审稿时长

4-8 weeks

期刊介绍： This journal publishes original research papers and review articles on all areas of Number Theory, including elementary number theory, analytic number theory, algebraic number theory, arithmetic algebraic geometry, geometry of numbers, diophantine equations, diophantine approximation, transcendental number theory, probabilistic number theory, modular forms, multiplicative number theory, additive number theory, partitions, and computational number theory.