Contribution to Vojtech Jarnik
Number Theory
2010-09-07 v3
Abstract
We find new inequalities between uniform and individual Diophantine exponents for three-dimensional Diophantine approximations. Also we give a result for two linear forms in two variables. The results improves V.Jarnik's theorem (1954).
Keywords
Cite
@article{arxiv.0912.2442,
title = {Contribution to Vojtech Jarnik},
author = {Nikolay G. Moshchevitin},
journal= {arXiv preprint arXiv:0912.2442},
year = {2010}
}
Comments
The results of the second version are better than that from the first one. Misprints corrected in the third version