Equidistribution of Kloosterman sums over function fields
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866909918084202496 |
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| author | Fu, Lei Lau, Yuk-Kam Li, Wen-Ching Winnie Xi, Ping |
| author_facet | Fu, Lei Lau, Yuk-Kam Li, Wen-Ching Winnie Xi, Ping |
| contents | We prove the Sato--Tate distribution of Kloosterman sums over function fields with explicit error terms, when the places vary in arithmetic progressions or short intervals. A joint Sato--Tate distribution of two ``different" exponential sums is also proved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_10106 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equidistribution of Kloosterman sums over function fields Fu, Lei Lau, Yuk-Kam Li, Wen-Ching Winnie Xi, Ping Number Theory Algebraic Geometry We prove the Sato--Tate distribution of Kloosterman sums over function fields with explicit error terms, when the places vary in arithmetic progressions or short intervals. A joint Sato--Tate distribution of two ``different" exponential sums is also proved. |
| title | Equidistribution of Kloosterman sums over function fields |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2406.10106 |