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Abstract
This paper is devoted to the proof of a conjecture of N. Moshchevitin related to the
study of the approximation properties of badly approximable vectors. The proof uses
the parametric geometry of numbers and relies on a fundamental theorem of
D. Roy.
Keywords
badly approximable vectors, simultaneous approximation
Mathematical Subject Classification
Primary: 11H06, 11J13
Milestones
Received: 26 November 2021
Revised: 9 December 2021
Accepted: 23 December 2021
Published: 30 March 2022
