A Weyl equidistribution theorem over function fields
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915758343192576 |
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| author | Ackelsberg, Ethan |
| author_facet | Ackelsberg, Ethan |
| contents | A classical theorem of Weyl states that any polynomial with an irrational coefficient other than the constant term is uniformly distributed mod 1. We prove a new function field analogue of this statement, confirming a conjecture of Lê, Liu, and Wooley. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_18789 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Weyl equidistribution theorem over function fields Ackelsberg, Ethan Number Theory 11J71 (Primary) 11K36, 11R58, 11T55 (Secondary) A classical theorem of Weyl states that any polynomial with an irrational coefficient other than the constant term is uniformly distributed mod 1. We prove a new function field analogue of this statement, confirming a conjecture of Lê, Liu, and Wooley. |
| title | A Weyl equidistribution theorem over function fields |
| topic | Number Theory 11J71 (Primary) 11K36, 11R58, 11T55 (Secondary) |
| url | https://arxiv.org/abs/2509.18789 |