Best approximation vectors for completely irrational subspaces

2023/04/17 by Nikolay Moshchevitin, Moshchevitin, Nikolay
Engineering · Mathematics · #11J13 #Advanced Numerical Analysis Techniques #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2304.08601

openalex publication_date 2023/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03

Abstract

We give an easy optimal bound for the dimension of the subspaces generated by the best Diophantine approximations.

Related

• Theorem on best Diophantine approximations for linear forms
• The best Diophantine approximations: the phenomenon of degenerate dimension
• Approximation de sous-espaces vectoriels de ℝⁿ par des sous-espaces rationnels
• Upper bounds and spectrum for approximation exponents for subspaces of ℝⁿ
• Approximation rationnelle de sous-espaces vectoriels