On transfer inequalities in Diophantine approximation

Details On transfer inequalities in Diophantine approximation On transfer inequalities in Diophantine approximation

2007-03-06

arxiv.org/abs/math/0703146v1

Mathematics

Number Theory

Scientific paper

Let $\Theta$ be a point in ${\bf R}^n$. We split the classical Khintchine's
Transference Principle into $n-1$ intermediate estimates which connect
exponents $\omega_d(\Theta)$ measuring the sharpness of the approximation to
$\Theta$ 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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