On badly approximable numbers
Number Theory
2021-11-16 v3
Abstract
Motivated by a wonderful paper by Ngoc Ai Van Nguyen, Anthony Po\"els and Damien Roy, where a powerful method was introduced, we prove a criterion for a vector to be a badly approximable vector. Moreover we construct certain examples which show that a more general version of our criterion is not valid.
Cite
@article{arxiv.2002.00433,
title = {On badly approximable numbers},
author = {Renat Akhunzhanov and Nikolay Moshchevitin},
journal= {arXiv preprint arXiv:2002.00433},
year = {2021}
}
Comments
minor correction after refereeing