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Izvestiya: Mathematics, 2014, Volume 78, Issue 2, Pages 268–292
DOI: https://doi.org/10.1070/IM2014v078n02ABEH002688 (Mi im7978) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the average number of best approximations of linear forms

A. A. Illarionov

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences, Khabarovsk
English version PDF (370 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM2014v078n02ABEH002688
Abstract: We obtain asymptotic formulae for the average number of best approximations of linear forms with rational coefficients and for the expectation of the number of best approximations of linear forms with real coefficients.
Keywords: multidimensional best approximations, $f$-best approximations of linear forms, Diophantine approximations.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00628-а
Far Eastern Branch of the Russian Academy of Sciences 12-I-П19-01
Received: 13.03.2012
Revised: 05.04.2013
Bibliographic databases:
Document Type: Article
UDC: 511.36+511.37
MSC: Primary 11J13; Secondary 11J17
Language: English
Original paper language: Russian
Citation: A. A. Illarionov, “On the average number of best approximations of linear forms”, Izv. Math., 78:2 (2014), 268–292
Citation in format AMSBIB
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\by A.~A.~Illarionov
\paper On the average number of best approximations of linear forms
\jour Izv. Math.
\yr 2014
\vol 78
\issue 2
\pages 268--292
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Linking options:
  • https://www.mathnet.ru/eng/im7978
  • https://doi.org/10.1070/IM2014v078n02ABEH002688
  • https://www.mathnet.ru/eng/im/v78/i2/p61
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:475
    Russian version PDF:151
    English version PDF:7
    References:55
    First page:14
     
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