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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 6, Pages 195–208 (Mi fpm893)  

This article is cited in 5 scientific papers (total in 5 papers)

On Gauss–Kuz'min statistics for finite continued fractions

A. V. Ustinov

M. V. Lomonosov Moscow State University
Full-text PDF (156 kB) Citations (5)
References:
Abstract: The article is devoted to finite continued fractions for numbers $a/b$ when integer points $(a,b)$ are taken from a dilative region. Properties similar to the Gauss–Kuz'min statistics are proved for these continued fractions.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 146, Issue 2, Pages 5771–5781
DOI: https://doi.org/10.1007/s10958-007-0391-z
Bibliographic databases:
UDC: 511.37+511.336
Language: Russian
Citation: A. V. Ustinov, “On Gauss–Kuz'min statistics for finite continued fractions”, Fundam. Prikl. Mat., 11:6 (2005), 195–208; J. Math. Sci., 146:2 (2007), 5771–5781
Citation in format AMSBIB
\Bibitem{Ust05}
\by A.~V.~Ustinov
\paper On Gauss--Kuz'min statistics for finite continued fractions
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 6
\pages 195--208
\mathnet{http://mi.mathnet.ru/fpm893}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2204432}
\zmath{https://zbmath.org/?q=an:1180.11027}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 146
\issue 2
\pages 5771--5781
\crossref{https://doi.org/10.1007/s10958-007-0391-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34848860439}
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  • https://www.mathnet.ru/eng/fpm893
  • https://www.mathnet.ru/eng/fpm/v11/i6/p195
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Фундаментальная и прикладная математика
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    Abstract page:666
    Full-text PDF :189
    References:78
    First page:1
     
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