Transference inequalities for multiplicative Diophantine exponents

Details Transference inequalities for multiplicative Diophantine exponents Transference inequalities for multiplicative Diophantine exponents

2010-12-09

arxiv.org/abs/1012.2071v1

Mathematics

Number Theory

Scientific paper

In this paper we prove inequalities for multiplicative analogues of
Diophantine exponents, similar to the ones known in the classical case.
Particularly, we show that a matrix is badly approximable if and only if its
transpose is badly approximable and establish some inequalities connecting
multiplicative exponents with ordinary ones.

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