An extension of the Khinchin–Groshev theorem

DOI10.4064/aa167-1-1zbMath1397.11123OpenAlexW2316217006MaRDI QIDQ2939980

Anish Ghosh, Robert Royals

Publication date: 23 January 2015

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

Full work available at URL: https://doi.org/10.4064/aa167-1-1

zbMATH Keywords

Diophantine approximationpositive characteristicquadratic extensions

Mathematics Subject Classification ID

Metric theory (11J83) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Diophantine approximation in probabilistic number theory (11K60) Homogeneous flows (37A17)

Related Items (6)

Khintchine's theorem for affine hyperplanes in positive charateristic ⋮ Number theory meets wireless communications: an introduction for dummies like us ⋮ A quantitative Khintchine-Groshev theorem for \(S\)-arithmetic Diophantine approximation ⋮ Diophantine approximation, large intersections and geodesics in negative curvature ⋮ The inhomogeneous Sprindžhuk conjecture over a local field of positive characteristic ⋮ Equidistribution on homogeneous spaces and the distribution of approximates in Diophantine approximation

Cites Work

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• Ultrametric logarithm laws. II
• Metric Diophantine approximation over a local field of positive characteristic
• Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics
• The metric simultaneous Diophantine approximations over formal power series.
• A survey of Diophantine approximation in fields of power series
• On the central limit theorem for non-archimedean Diophantine approximations
• Logarithm laws for flows on homogeneous spaces
• Endliche Erzeugbarkeit arithmetischer Gruppen über Funktionenkörpern
• A quantitative Khintchine-Groshev type theorem over a field of formal series
• A mean value theorem in geometry of numbers
• Badly approximable vectors, curves and number fields
• Divergent trajectories of flows on homogeneous spaces and Diophantine approximation.
• On metrical theory of diophantine approximation over imaginary quadratic field
• On metric Diophantine approximation in positive characteristic
• On well-approximable matrices over a field of formal series

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