Joint distribution of Hecke eigenforms on $\mathbb{H}^3$
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909981919412224 |
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| author | Lesesvre, Didier Marchesini, Luca Raulf, Nicole |
| author_facet | Lesesvre, Didier Marchesini, Luca Raulf, Nicole |
| contents | We prove a joint value equidistribution statement for Hecke-Maaß cusp forms on the hyperbolic three-space $\mathbb{H}^3$. This supports the conjectural statistical independence of orthogonal cusp forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_06331 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Joint distribution of Hecke eigenforms on $\mathbb{H}^3$ Lesesvre, Didier Marchesini, Luca Raulf, Nicole Number Theory 11F30, 11L07, 11F66 We prove a joint value equidistribution statement for Hecke-Maaß cusp forms on the hyperbolic three-space $\mathbb{H}^3$. This supports the conjectural statistical independence of orthogonal cusp forms. |
| title | Joint distribution of Hecke eigenforms on $\mathbb{H}^3$ |
| topic | Number Theory 11F30, 11L07, 11F66 |
| url | https://arxiv.org/abs/2508.06331 |