Badly approximable systems of linear forms over a field of formal series
Number Theory
2007-05-23 v4
Abstract
We prove that the Hausdorff dimension of the set of badly approximable systems of m linear forms in n variables over the field of Laurent series with coefficients from a finite field is maximal. This is a analogue of Schmidt's multi-dimensional generalisation of Jarnik's Theorem on badly approximable numbers.
Keywords
Cite
@article{arxiv.math/0306377,
title = {Badly approximable systems of linear forms over a field of formal series},
author = {Simon Kristensen},
journal= {arXiv preprint arXiv:math/0306377},
year = {2007}
}
Comments
Revised version