Hausdorff dimension of singular vectors in function fields
Number Theory
2024-12-06 v2 Dynamical Systems
Abstract
We compute the Hausdorff dimension of the set of singular vectors in function fields and bound the Hausdorff dimension of the set of -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].
Cite
@article{arxiv.2405.11274,
title = {Hausdorff dimension of singular vectors in function fields},
author = {Noy Soffer Aranov and Taehyeong Kim},
journal= {arXiv preprint arXiv:2405.11274},
year = {2024}
}
Comments
25 pages, Minor errata were corrected