An inequality for Diophantine exponents in the case of simultaneous approximation

Details An inequality for Diophantine exponents in the case of simultaneous approximation An inequality for Diophantine exponents in the case of simultaneous approximation

2010-06-13

arxiv.org/abs/1006.2549v2

Mathematics

Number Theory

This paper has been withdrawn by the author because a better estimate exists than the one proven in the paper

Scientific paper

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.

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