New variants of arithmetic quantum ergodicity
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866918069404696576 |
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| author | Humphries, Peter Thorner, Jesse |
| author_facet | Humphries, Peter Thorner, Jesse |
| contents | We establish two new variants of arithmetic quantum ergodicity. The first is for self-dual $\mathrm{GL}_2$ Hecke-Maass newforms over $\mathbb{Q}$ as the level and Laplace eigenvalue vary jointly. The second is a nonsplit analogue wherein almost all restrictions of Hilbert (respectively Bianchi) Hecke-Maass cusp forms to the modular surface dissipate as their Laplace eigenvalues grow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14591 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New variants of arithmetic quantum ergodicity Humphries, Peter Thorner, Jesse Number Theory We establish two new variants of arithmetic quantum ergodicity. The first is for self-dual $\mathrm{GL}_2$ Hecke-Maass newforms over $\mathbb{Q}$ as the level and Laplace eigenvalue vary jointly. The second is a nonsplit analogue wherein almost all restrictions of Hilbert (respectively Bianchi) Hecke-Maass cusp forms to the modular surface dissipate as their Laplace eigenvalues grow. |
| title | New variants of arithmetic quantum ergodicity |
| topic | Number Theory |
| url | https://arxiv.org/abs/2403.14591 |