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Preprints, Working Papers, ... Year : 2024

On geometry of simultaneous approximation to three real numbers

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.

Dates and versions

hal-04408760 , version 1 (22-01-2024)

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Antoine Marnat, Nikolay Moshchevitin. On geometry of simultaneous approximation to three real numbers. 2024. ⟨hal-04408760⟩
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