The fourth moment of holomorphic Hecke cusp forms in shorter intervals

Fuente: arXiv
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Autore principale: Liu, Jinghai
Natura: Preprint
Pubblicazione: 2025
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author Liu, Jinghai
author_facet Liu, Jinghai
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_10971
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The fourth moment of holomorphic Hecke cusp forms in shorter intervals
Liu, Jinghai
Number Theory
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.
title The fourth moment of holomorphic Hecke cusp forms in shorter intervals
topic Number Theory
url https://arxiv.org/abs/2501.10971