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arXiv · 2203.04242

On geometry of simultaneous approximation to three real numbers

Antoine Marnat·Nikolay Moshchevitin
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Abstract

Considering simultaneous approximation to three numbers, we study the geometry of the sequence of best approximations. We provide a sharper lower bound for the ratio between ordinary and uniform exponent of Diophantine approximation, optimal in terms of this geometry.

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Antoine Marnat, Nikolay Moshchevitin. 2022-03-08. On geometry of simultaneous approximation to three real numbers. https://arxiv.org/abs/2203.04242

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