On transfer inequalities in Diophantine approximation, II
Number Theory
2008-11-14 v1
Abstract
We refine Khintchine Transference Principle which relates the measure of simultaneous rational approximation of an real numbers with the measure of linear independence of these numbers. Khintchine's inequalities are known to be optimal. However, they may be sharpened by taking into account two further uniform exponents.
Cite
@article{arxiv.0811.2102,
title = {On transfer inequalities in Diophantine approximation, II},
author = {Y. Bugeaud and M. Laurent},
journal= {arXiv preprint arXiv:0811.2102},
year = {2008}
}