Hausdorff dimension of singular vectors in function fields

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-02-01 DOI:10.1016/j.aim.2024.110084

Noy Soffer Aranov , Taehyeong Kim

引用次数: 0

Abstract

We compute the Hausdorff dimension of the set of singular vectors in function fields and bound the Hausdorff dimension of the set of ε-Dirichlet improvable vectors in this setting. This is a function field analogue of the results of Cheung and Chevallier (2016) [9].

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.