Hausdorff dimension of singular vectors in function fields
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913598499979264 |
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| author | Aranov, Noy Soffer Kim, Taehyeong |
| author_facet | Aranov, Noy Soffer Kim, Taehyeong |
| contents | We compute the Hausdorff dimension of the set of singular vectors in function fields and bound the Hausdorff dimension of the set of $\varepsilon$-Dirichlet improvable vectors in this setting. This is a function field analogue of the results of Cheung and Chevallier [Duke Math. J. 165 (2016), 2273--2329]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11274 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hausdorff dimension of singular vectors in function fields Aranov, Noy Soffer Kim, Taehyeong Number Theory Dynamical Systems We compute the Hausdorff dimension of the set of singular vectors in function fields and bound the Hausdorff dimension of the set of $\varepsilon$-Dirichlet improvable vectors in this setting. This is a function field analogue of the results of Cheung and Chevallier [Duke Math. J. 165 (2016), 2273--2329]. |
| title | Hausdorff dimension of singular vectors in function fields |
| topic | Number Theory Dynamical Systems |
| url | https://arxiv.org/abs/2405.11274 |