Contribution to Vojtech Jarnik

Mathematics – Number Theory

Scientific paper

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

Scientific paper

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).

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