Asymptotic behavior of the number of solutions for non-archimedean Diophantine approximations with restricted denominators

DOI10.1016/j.ffa.2008.03.001zbMath1168.11027OpenAlexW2071312817MaRDI QIDQ958596

Valérie Berthé, Rie Natsui, Hitoshi Nakada

Publication date: 5 December 2008

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2008.03.001

zbMATH Keywords

strong law of large numbersmetric Diophantine approximationLaurent formal power series

Mathematics Subject Classification ID

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

Cites Work

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• On metric Diophantine approximation in the field of formal Laurent series
• On continued fraction expansions in positive characteristic: equivalence relations and some metric properties
• On the central limit theorem for non-archimedean Diophantine approximations
• The method of trigonometric sums in the metric theory of diophantine approximations of dependent quantities
• Invariance principles for Diophantine approximation of formal Laurent series over a finite base field
• A Metrical Theorem in Diophantine Approximation
• Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations
• On metric Diophantine approximation in positive characteristic

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