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Funktsional'nyi Analiz i ego Prilozheniya, 2004, Volume 38, Issue 2, Pages 1–11
DOI: https://doi.org/10.4213/faa103 (Mi faa103) 		 
This article is cited in 17 scientific papers (total in 17 papers)

On the Statistics of Partial Quotients of Finite Continued Fractions

M. O. Avdeevaab

a Khabarovsk State Pedagogical University
b Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (167 kB) Citations (17)
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DOI: https://doi.org/10.4213/faa103
Abstract: We refine the remainder estimate in the asymptotic formula, earlier obtained in a joint paper with V. A. Bykovskii, for Arnold's problem about Gauss–Kuzmin statistics.
Keywords: continued fraction, partial quotient, convergent, Gauss–Kuzmin statistics.
Received: 06.02.2003
English version:
Functional Analysis and Its Applications, 2004, Volume 38, Issue 2, Pages 79–87
DOI: https://doi.org/10.1023/B:FAIA.0000034038.55276.7d
Bibliographic databases:
Document Type: Article
UDC: 511.36+511.37
Language: Russian
Citation: M. O. Avdeeva, “On the Statistics of Partial Quotients of Finite Continued Fractions”, Funktsional. Anal. i Prilozhen., 38:2 (2004), 1–11; Funct. Anal. Appl., 38:2 (2004), 79–87
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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