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arXiv:2501.10971 [math.NT]AbstractReferencesReviewsResources

The fourth moment of holomorphic Hecke cusp forms in shorter intervals

Jinghai Liu

Published 2025-01-19Version 1

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.

Comments: 16 pages, 0 figures
Categories: math.NT
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