English

A metric theorem for restricted Diophantine approximation in positive characteristic

Number Theory 2007-05-23 v2

Abstract

We calculate the measure and Hausdorff dimension of sets of matrices over fields of formal power series with good approximation properties for a restricted set of denominators.

Keywords

Cite

@article{arxiv.math/0401392,
  title  = {A metric theorem for restricted Diophantine approximation in positive characteristic},
  author = {Simon Kristensen},
  journal= {arXiv preprint arXiv:math/0401392},
  year   = {2007}
}

Comments

This version has a considerably more general main result

R2 v1 2026-07-22T17:01:58.622Z