Asymptotic Behavior of the Number of Solutions for Non-Archimedean Diophantine Approximations with Restricted Denominators - LIRMM - Laboratoire d’Informatique, de Robotique et de Microélectronique de Montpellier Access content directly
Journal Articles Finite Fields and Their Applications Year : 2008

Asymptotic Behavior of the Number of Solutions for Non-Archimedean Diophantine Approximations with Restricted Denominators

Valerie Berthe

Abstract

We consider metric results for the asymptotic behavior of the number of solutions of Diophantine approximation inequalities with restricted denominators for Laurent formal power series with coefficients in a finite field. We consider, in particular, approximations by rational functions whose denominators are powers of irreducible polynomials, and we study the strong law of large numbers for solutions of the inequalities under consideration

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lirmm-00344945 , version 1 (07-12-2008)

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Valerie Berthe, Hitoshi Nakada, Rie Natsui. Asymptotic Behavior of the Number of Solutions for Non-Archimedean Diophantine Approximations with Restricted Denominators. Finite Fields and Their Applications, 2008, 14, pp.849-866. ⟨10.1016/j.ffa.2008.03.001⟩. ⟨lirmm-00344945⟩
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