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arXiv · 1012.2071

Transference inequalities for multiplicative Diophantine exponents

Oleg N. German
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Abstract

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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Oleg N. German. 2010-12-09. Transference inequalities for multiplicative Diophantine exponents. https://arxiv.org/abs/1012.2071

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