arXiv:2405.11274 Abstract | arXiv Analytics

arXiv:2405.11274 [math.NT]Abstract References Reviews Resources

Hausdorff dimension of singular vectors in function fields

Published 2024-05-18Version 1

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].

Comments: 23 pages

Categories: math.NT, math.DS

Keywords: hausdorff dimension, singular vectors, function field analogue, duke math, dirichlet improvable vectors

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