The density hypothesis for horizontal families of lattices
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866912119583145984 |
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| author | Frączyk, Mikołaj Harcos, Gergely Maga, Péter Milićević, Djordje |
| author_facet | Frączyk, Mikołaj Harcos, Gergely Maga, Péter Milićević, Djordje |
| contents | We prove the density hypothesis for wide families of arithmetic orbifolds arising from all division quaternion algebras over all number fields of bounded degree. Our power-saving bounds on the multiplicities of non-tempered representations are uniform in the volume and spectral aspects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2007_13961 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The density hypothesis for horizontal families of lattices Frączyk, Mikołaj Harcos, Gergely Maga, Péter Milićević, Djordje Number Theory Spectral Theory Primary 11F72, Secondary 11F70, 22E40, 22E45 We prove the density hypothesis for wide families of arithmetic orbifolds arising from all division quaternion algebras over all number fields of bounded degree. Our power-saving bounds on the multiplicities of non-tempered representations are uniform in the volume and spectral aspects. |
| title | The density hypothesis for horizontal families of lattices |
| topic | Number Theory Spectral Theory Primary 11F72, Secondary 11F70, 22E40, 22E45 |
| url | https://arxiv.org/abs/2007.13961 |