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arXiv · 2501.10971

The fourth moment of holomorphic Hecke cusp forms in shorter intervals

Jinghai Liu
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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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Jinghai Liu. 2025-01-19. The fourth moment of holomorphic Hecke cusp forms in shorter intervals. https://arxiv.org/abs/2501.10971

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