A remark on the set of exactly approximable vectors in the simultaneous case

DOI10.1090/PROC/16790zbMATH Open1546.11106MaRDI QIDQ6566370

Reynold Fregoli

Publication date: 3 July 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionsimultaneous approximations of vectors

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83)

Cites Work

• Sets of exact approximation order by rational numbers
• Diophantische Approximationen und Hausdorffsches Maß.
• Einige Sätze über Kettenbrüche, mit Anwendungen auf die Theorie der Diophantischen Approximationen.
• On simultaneous Diophantine approximations
• Exact approximation order and well-distributed sets
• Fractal geometry. Mathematical foundations and applications
• Rational approximation of affine coordinate subspaces of Euclidean space
• Sets of exact approximation order by rational numbers III
• The Hausdorff dimension of systems of linear forms
• Measure theoretic laws for lim sup sets
• Classical Metric Diophantine Approximation Revisited: The Khintchine-Groshev Theorem
• Schmidt's theorem, Hausdorff measures, and slicing
• Metric Diophantine Approximation: Aspects of Recent Work
• Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers
• Metric simultaneous diophantine approximation (II)
• Sets of exact `logarithmic' order in the theory of Diophantine approximation
• Fourier Dimension Estimates for Sets of Exact Approximation Order: The Well-Approximable Case

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