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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2408.15259 |
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| _version_ | 1866917761001717760 |
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| author | Sun, Qingfeng Zhang, Qizhi |
| author_facet | Sun, Qingfeng Zhang, Qizhi |
| contents | We compute the quantum variance of holomorphic cusp forms on the vertical geodesic for smooth compactly supported test functions. As an application we show that almost all holomorphic Hecke cusp forms, whose weights are in a short interval, satisfy QUE conjecture on the vertical geodesic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15259 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mass Distribution for holomorphic cusp forms on the vertical geodesic Sun, Qingfeng Zhang, Qizhi Number Theory We compute the quantum variance of holomorphic cusp forms on the vertical geodesic for smooth compactly supported test functions. As an application we show that almost all holomorphic Hecke cusp forms, whose weights are in a short interval, satisfy QUE conjecture on the vertical geodesic. |
| title | Mass Distribution for holomorphic cusp forms on the vertical geodesic |
| topic | Number Theory |
| url | https://arxiv.org/abs/2408.15259 |