\(S\)-arithmetic Khintchine-type theorem

DOI10.1007/s00039-009-0029-zzbMath1272.11088arXiv1109.6430OpenAlexW2033574095MaRDI QIDQ2655446

Amir Mohammadi, Alireza Salehi Golsefidy

Publication date: 25 January 2010

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.6430

zbMATH Keywords

Metric Diophantine approximationKhintchine theorem

Mathematics Subject Classification ID

Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60)

Related Items (10)

\(S\)-arithmetic inhomogeneous Diophantine approximation on manifolds ⋮ Khintchine's theorem for affine hyperplanes in positive charateristic ⋮ Metric Diophantine approximation over a local field of positive characteristic ⋮ Simultaneous Diophantine approximation in the real and \(p\)-adic fields with nonmonotonic error function ⋮ A quantitative Khintchine-Groshev theorem for \(S\)-arithmetic Diophantine approximation ⋮ Simultaneous Diophantine approximations with nonmonotonic error function ⋮ On the number of polynomials with small discriminants in the Euclidean and \(p\)-adic metrics ⋮ Simultaneous Diophantine approximation in non-degenerate \(p\)-adic manifolds ⋮ An effective estimate for the measure of the set of p-adic numbers with a given order of approximation ⋮ Multiplicative p-adic metric Diophantine approximation on manifolds and dichotomy of exponents

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