Badly approximable vectors, $C^{1}$ curves and number fields
Dynamical Systems
2019-02-20 v1
Abstract
We show that points on curves which are badly approximable by rationals in a number field form a winning set in the sense of W. M. Schmidt. As a consequence, we obtain a number field version of Schmidt's conjecture.
Keywords
Cite
@article{arxiv.1401.0992,
title = {Badly approximable vectors, $C^{1}$ curves and number fields},
author = {Manfred Einsiedler and Anish Ghosh and Beverly Lytle},
journal= {arXiv preprint arXiv:1401.0992},
year = {2019}
}