Badly approximable affine forms and Schmidt games
Number Theory
2008-12-15 v1
Abstract
For any real number \t, the set of all real numbers x for which there exists a constant c(x) > 0 such that \inf_{p \in \ZZ} |\t q - x - p| \geq c(x)/|q| for all q in \ZZ {0} is an 1/8-winning set.
Cite
@article{arxiv.0812.2281,
title = {Badly approximable affine forms and Schmidt games},
author = {Jimmy Tseng},
journal= {arXiv preprint arXiv:0812.2281},
year = {2008}
}
Comments
6 pages