Rational approximation of affine coordinate subspaces of Euclidean space

DOI10.4064/aa8521-8-2016zbMath1410.11105arXiv1510.05012OpenAlexW2963479207MaRDI QIDQ2957231

David Simmons, Fabian Süess, Felipe A. Ramírez

Publication date: 25 January 2017

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05012

zbMATH Keywords

Diophantine approximationubiquitous systemKhintchine's theoremGallagher's theoremKhintchine type for divergenceKhintchine's transference principle

Mathematics Subject Classification ID

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

Related Items (5)

A characterization of bad approximability ⋮ Extremal affine subspaces and Khintchine-Jarník type theorems ⋮ DIOPHANTINE APPROXIMATION ON MANIFOLDS AND LOWER BOUNDS FOR HAUSDORFF DIMENSION ⋮ A Khintchine-type theorem for affine subspaces ⋮ MULTIPLICATIVE DIOPHANTINE APPROXIMATION OF THE EXPANSIONS UNDER DIFFERENT BASES ON A LINE

Cites Work

• Diophantine approximation on planar curves and the distribution of rational points. With an appendix: Sums of two squares near perfect squares by R. C. Vaughan
• Measure theoretic laws for lim sup sets

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