A quantitative Khintchine-Groshev type theorem over a field of formal series

DOI10.1016/S0019-3577(05)80020-5zbMath1089.11039arXivmath/0401438OpenAlexW1968578487MaRDI QIDQ2566733

Simon Kristensen, Jason Levesley, Maurice M. Dodson

Publication date: 28 September 2005

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401438

zbMATH Keywords

Diophantine approximationpositive characteristicasymptotic formulaformal power seriessystem of linear forms

Mathematics Subject Classification ID

Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60) Approximation in non-Archimedean valuations (11J61)

Related Items (4)

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 ⋮ A quantitative Khintchine-Groshev theorem for \(S\)-arithmetic Diophantine approximation

Cites Work

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• Linear complexity profiles: Hausdorff dimensions for almost perfect profiles and measures for general profiles
• A survey of Diophantine approximation in fields of power series
• The method of trigonometric sums in the metric theory of diophantine approximations of dependent quantities
• A Metrical Theorem in Diophantine Approximation
• Geometric and probabilistic ideas in metric Diophantine approximation
• On well-approximable matrices over a field of formal series
• On continued fractions and diophantine approximation in power series fields
• Metrical Theorems on Fractional Parts of Sequences

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