Transference inequalities for multiplicative Diophantine exponents
Number Theory
2010-12-10 v1
Abstract
In this paper we prove inequalities for multiplicative analogues of Diophantine exponents, similar to the ones known in the classical case. Particularly, we show that a matrix is badly approximable if and only if its transpose is badly approximable and establish some inequalities connecting multiplicative exponents with ordinary ones.
Keywords
Cite
@article{arxiv.1012.2071,
title = {Transference inequalities for multiplicative Diophantine exponents},
author = {Oleg N. German},
journal= {arXiv preprint arXiv:1012.2071},
year = {2010}
}