ON A PROBLEM OF BERNIK, KLEINBOCK AND MARGULIS

DOI10.1017/S0017089511000255zbMath1268.11098OpenAlexW2051194735MaRDI QIDQ3094650

Natalia Budarina

Publication date: 25 October 2011

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089511000255

zbMATH Keywords

Diophantine approximationapproximation by algebraic numbersmetric theory

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60)

Cites Work

• Unnamed Item
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• Flows on homogeneous spaces and Diophantine approximation on manifolds
• A Groshev type theorem for convergence on manifolds
• 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
• Diophantine approximation on planar curves: the convergence theory
• On approximation of \(p\)-adic numbers by \(p\)-adic algebraic numbers
• APPROXIMATION BY ALGEBRAIC INTEGERS AND HAUSDORFF DIMENSION
• Lower bounds for the number of integral polynomials with given order of discriminants
• Bounds on fewnomial exponential sums over ℤ_p
• Diophantine approximation on non-degenerate curves with non-monotonic error function
• On a theorem of V. Bernik in the metric theory of Diophantine approximation
• The distribution of close conjugate algebraic numbers

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