Two-dimensional badly approximable vectors and Schmidt's game
Number Theory
2016-02-10 v2
Abstract
We prove that for any pair of nonnegative numbers with , the set of two-dimensional -badly approximable vectors is winning for Schmidt's game. As a consequence, we give a direct proof of Schmidt's conjecture using his game.
Keywords
Cite
@article{arxiv.1204.3610,
title = {Two-dimensional badly approximable vectors and Schmidt's game},
author = {Jinpeng An},
journal= {arXiv preprint arXiv:1204.3610},
year = {2016}
}
Comments
12 pages