On geometry of simultaneous approximation to three real numbers

2022/03/08 by Marnat, Antoine, Moshchevitin, Nikolay
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2203.04242

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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