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arXiv · 2405.11274

Hausdorff dimension of singular vectors in function fields

Noy Soffer Aranov·Taehyeong Kim
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Abstract

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].

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Noy Soffer Aranov, Taehyeong Kim. 2024-05-18. Hausdorff dimension of singular vectors in function fields. https://arxiv.org/abs/2405.11274

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