The fourth moment of holomorphic Hecke cusp forms in shorter intervals

Type: Preprint

Publication Date: 2025-01-19

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2501.10971

Abstract

Let $0<c\le 1/4$ be fixed. For $H = K^{\frac{3}{4}+ c}$, we find the average value of the fourth moment of holomorphic Hecke cusp forms of weight varies within $[K,K+H]$, improving a previous result of Khan.

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  • arXiv (Cornell University) - View - PDF

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