Metric Diophantine approximation over a local field of positive characteristic

DOI10.1016/j.jnt.2006.10.009zbMath1123.11024arXivmath/0508472OpenAlexW2055125395MaRDI QIDQ880070

Anish Ghosh

Publication date: 10 May 2007

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508472

zbMATH Keywords

local fieldsmetric Diophantine approximationextremal manifoldsdependent variables

Mathematics Subject Classification ID

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

Related Items (15)

\(S\)-arithmetic inhomogeneous Diophantine approximation on manifolds ⋮ Diophantine Inheritance for $p$-adic measures ⋮ Khintchine's theorem for affine hyperplanes in positive charateristic ⋮ A joinings classification and a special case of Raghunathan's conjecture in positive characteristic (with an appendix by Kevin Wortman) ⋮ An extension of the Khinchin–Groshev theorem ⋮ Equidistribution with an error rate and Diophantine approximation over a local field of positive characteristic ⋮ Metric Diophantine approximation over a local field of positive characteristic ⋮ An extension of quantitative nondivergence and applications to Diophantine exponents ⋮ The inhomogeneous Sprindžhuk conjecture over a local field of positive characteristic ⋮ \(S\)-adic version of Minkowski's geometry of numbers and Mahler's compactness criterion ⋮ METRIC DIOPHANTINE APPROXIMATION FOR SYSTEMS OF LINEAR FORMS VIA DYNAMICS ⋮ Ultrametric logarithm laws. II ⋮ A KHINTCHINE–GROSHEV THEOREM FOR AFFINE HYPERPLANES ⋮ (Non)-escape of mass and equidistribution for horospherical actions on trees ⋮ Winning property of badly approximable points on curves

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