May 18, 2024Open Access

Hausdorff dimension of singular vectors in function fields

Key Points

Key points are not available for this paper at this time.

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.

Read Full Paperexternally

Ask AI

Helpful

Bookmark

View Full Paper

Cite This Study

Aranov et al. (Sat,) studied this question.

synapsesocial.com/papers/68e69843b6db64358761e384 https://doi.org/https://doi.org/10.48550/arxiv.2405.11274

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1On a lower bound of Hausdorff dimension of weighted singular vectors2024 · 2 citations
2Singular systems of linear forms over global function fields2024
3Exact approximation in the field of formal power series2026
4A remark on the set of exactly approximable vectors in the simultaneous case2024 · 3 citations
5The Hausdorff dimension of self-projective sets2025 · 2 citations

Ask AI

Helpful

Bookmark

View Full Paper