Spectrum of the exponents of best rational approximation

Published 4 Oct 2014 in math.NT | (1410.1007v2)

Abstract: Using the new theory of W. M. Schmidt and L. Summerer called parametric geometry of numbers, we show that the going-up and going-down transference inequalities of W. M. Schmidt and M. Laurent describe the full spectrum of the $n$ exponents of best rational approximation to points in $\mathbb{R}^{n+1}$.

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Damien Roy

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