Counting lattice points in central simple algebras with a given characteristic polynomial
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909524477083648 |
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| author | Xie, Jiaqi |
| author_facet | Xie, Jiaqi |
| contents | We extend the asymptotic formula for counting integral matrices with a given irreducible characteristic polynomial by Eskin, Mozes and Shah in 1996 to the case of counting elements in a maximal order of certain central simple algebra with a given irreducible characteristic polynomial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02371 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Counting lattice points in central simple algebras with a given characteristic polynomial Xie, Jiaqi Number Theory We extend the asymptotic formula for counting integral matrices with a given irreducible characteristic polynomial by Eskin, Mozes and Shah in 1996 to the case of counting elements in a maximal order of certain central simple algebra with a given irreducible characteristic polynomial. |
| title | Counting lattice points in central simple algebras with a given characteristic polynomial |
| topic | Number Theory |
| url | https://arxiv.org/abs/2503.02371 |