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The rate of convergence of approximations of a continued fraction

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Publication:1385259
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DOI10.1006/jnth.1997.2186zbMath0909.11031OpenAlexW1980619469MaRDI QIDQ1385259

C. Faivre

Publication date: 26 April 1998

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1997.2186


zbMATH Keywords

convergenceapproximations of continued fractions


Mathematics Subject Classification ID

Metric theory of continued fractions (11K50)




Cites Work

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  • The Hausdorff dimensions of some continued fraction Cantor sets
  • On the thermodynamic formalism for the Gauss map
  • The distribution of continued fraction approximations
  • Continued fraction algorithms, functional operators, and structure constants
  • On a theorem of Gauss-Kuzmin-Lévy
  • Generalization of a theorem of Kusmin
  • Über Einen Kusminschen Satz
  • Distribution of Lévy constants for quadratic numbers
  • On the theorem of Gauss-Kusmin-Lévy and a Frobenius-type theorem for function spaces
  • On the central limit theorem for random variables related to the continued fraction expansion
  • The number of steps in the Euclidean algorithm


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