Kloosterman sums on orthogonal groups
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929562443579392 |
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| author | Mujdei, Catinca |
| author_facet | Mujdei, Catinca |
| contents | We study Kloosterman sums on the orthogonal groups $SO_{3,3}$ and $SO_{4,2}$, associated to short elements of their respective Weyl groups. An explicit description for these sums is obtained in terms of multi-dimensional exponential sums. These are bounded by a combination of methods from algebraic geometry and $p$-adic analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_20569 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kloosterman sums on orthogonal groups Mujdei, Catinca Number Theory 11L05, 11L07 We study Kloosterman sums on the orthogonal groups $SO_{3,3}$ and $SO_{4,2}$, associated to short elements of their respective Weyl groups. An explicit description for these sums is obtained in terms of multi-dimensional exponential sums. These are bounded by a combination of methods from algebraic geometry and $p$-adic analysis. |
| title | Kloosterman sums on orthogonal groups |
| topic | Number Theory 11L05, 11L07 |
| url | https://arxiv.org/abs/2410.20569 |