On a question of N. Chevallier related to simultaneous Diophantine approximation

DOI10.5802/jtnb.954zbMath1415.11093arXiv1310.6691OpenAlexW3115526227MaRDI QIDQ517742

Nikolay G. Moshchevitin

Publication date: 27 March 2017

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.6691

zbMATH Keywords

simultaneous Diophantine approximationsmultidimensional continued fraction expansions

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Simultaneous homogeneous approximation, linear forms (11J13) Diophantine approximation in probabilistic number theory (11K60)

Related Items (2)

Some remarks on inhomogeneous Diophantine approximations ⋮ 2-dimensional badly approximable vectors and Schmidt's game

Cites Work

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• Best simultaneous Diophantine approximations. II: Behavior of consecutive best approximations
• Best simultaneous Diophantine approximations and multidimensional continued fraction expansions
• Khintchine's singular Diophantine systems and their applications
• Generalization of the Euclidean algorithm for real numbers to all dimensions higher than two
• On best simultaneous approximations
• Approximation to real numbers by algebraic integers
• Contribution to the linear and homogeneous Diophantine approximations

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