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

V. Berthé, H. Nakada, R. Natsui

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3 Citations (Scopus)


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 especially consider approximations by rational functions whose denominators are powers of irreducible polynomials, and study the strong law of large numbers for the number of solutions of the inequalities under consideration.

Original languageEnglish
Pages (from-to)849-866
Number of pages18
JournalFinite Fields and their Applications
Issue number4
Publication statusPublished - 2008 Nov 1



  • Laurent formal power series
  • Metric Diophantine approximation
  • Strong law of large numbers

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Algebra and Number Theory
  • Engineering(all)
  • Applied Mathematics

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