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On transfer inequalities in Diophantine approximation

Michel Laurent
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Abstract

Let $Θ$ be a point in ${\bf R}^n$. We split the classical Khintchine's Transference Principle into $n-1$ intermediate estimates which connect exponents $ω_d(Θ)$ measuring the sharpness of the approximation to $Θ$ by linear rational varieties of dimension $d$, for $0\le d \le n-1$. We also review old and recent results related to these $n$ exponents.

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Michel Laurent. 2007-03-06. On transfer inequalities in Diophantine approximation. https://arxiv.org/abs/math/0703146

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