An inequality for Diophantine exponents in the case of simultaneous approximation
Number Theory
2010-09-07 v2
Abstract
In this paper we prove an inequality for individual and uniform Diophantine exponents in the case of simultaneous approximation. This inequality is better than Jarnik's for small values of the uniform exponent.
Cite
@article{arxiv.1006.2549,
title = {An inequality for Diophantine exponents in the case of simultaneous approximation},
author = {Oleg N. German},
journal= {arXiv preprint arXiv:1006.2549},
year = {2010}
}
Comments
This paper has been withdrawn by the author because a better estimate exists than the one proven in the paper