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arXiv · 1410.1007

Spectrum of the exponents of best rational approximation

Damien Roy
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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. 2015-10-23. Spectrum of the exponents of best rational approximation. https://doi.org/10.1007/s00209-015-1592-7

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