paper

Contribution to Vojtech Jarnik

arXiv:0912.2442

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).

The results of the second version are better than that from the first one. Misprints corrected in the third version

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