Badly approximable numbers related to the Littlewood conjecture
Number Theory
2008-10-07 v1
Abstract
By means of Peres-Schlag's method we prove the existence of real numbers such that \liminf_{q\to \infty} (q\log^2 q)||\alpha q|| ||\beta q|| > 0.
Keywords
Cite
@article{arxiv.0810.0777,
title = {Badly approximable numbers related to the Littlewood conjecture},
author = {Nikolay Moshchevitin},
journal= {arXiv preprint arXiv:0810.0777},
year = {2008}
}
Comments
5 pages