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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2501.10971 |
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| _version_ | 1866915110199492608 |
|---|---|
| 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 |