Exact Approximation In The Field Of Formal Series
In this article, we prove a lower bound for the Hausdorff dimension of the set of exactly $\psi$-approximable vectors with values in a local field of positive characteristic. This is the analogue of the corresponding theorem of Bandi and de Saxc'e on reals \cite{bandi2023hausdorff} and is a higher-dimensional version of a theorem of Zhang \cite{MR2834892}.
Publication Details
- Journal
- ArXiv.org
- Published
- 2025-03-08
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00