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The fourth moment of holomorphic Hecke cusp forms in shorter intervals

Number Theory 2025-01-22 v1

Abstract

Let 0<c1/40<c\le 1/4 be fixed. For H=K34+cH = 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][K,K+H], improving a previous result of Khan.

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Cite

@article{arxiv.2501.10971,
  title  = {The fourth moment of holomorphic Hecke cusp forms in shorter intervals},
  author = {Jinghai Liu},
  journal= {arXiv preprint arXiv:2501.10971},
  year   = {2025}
}

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16 pages, 0 figures