On the non-vanishing of Fourier coefficients of half-integral weight cuspforms

IF 0.5 3区数学 Q3 MATHEMATICS International Journal of Number Theory Pub Date : 2024-04-06 DOI:10.1142/s1793042124500805

Jun-Hwi Min

引用次数: 0

Abstract

We prove the best possible upper bounds of the gaps between non-vanishing Fourier coefficients of half-integral weight cuspforms. This improves the works of Balog–Ono and Thorner. We also show an asymptotic formula of central modular $L$ -values for short intervals.

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关于半整数权凹凸形的傅里叶系数不求和问题

我们证明了半整数权凹凸形非相等傅里叶系数之间间隙的最佳上限。这改进了 Balog-Ono 和 Thorner 的工作。我们还展示了短区间中心模态 L 值的渐近公式。

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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.

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