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Sbornik: Mathematics, 2009, Volume 200, Issue 4, Pages 597–627
DOI: https://doi.org/10.1070/SM2009v200n04ABEH004011 (Mi sm6547) 		 
This article is cited in 20 scientific papers (total in 20 papers)

The solution of Arnold's problem on the weak asymptotics of Frobenius numbers with three arguments

A. V. Ustinov

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
English version PDF (397 kB) Citations (20)
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DOI: https://doi.org/10.1070/SM2009v200n04ABEH004011
Abstract: It is shown that on the average the Frobenius numbers $f(a,b,c)$ behave like $\frac8\pi\sqrt{abc}$ .
Bibliography: 28 titles.
Keywords: Frobenius numbers, continued fractions, Kloosterman sums.
Received: 05.08.2008 and 05.01.2009
Russian version:
Matematicheskii Sbornik, 2009, Volume 200, Number 4, Pages 131–160
DOI: https://doi.org/10.4213/sm6547
Bibliographic databases:
UDC: 511.336+511.218+511.335
MSC: 11D85, 11D04
Language: English
Original paper language: Russian
Citation: A. V. Ustinov, “The solution of Arnold's problem on the weak asymptotics of Frobenius numbers with three arguments”, Mat. Sb., 200:4 (2009), 131–160; Sb. Math., 200:4 (2009), 597–627
Citation in format AMSBIB
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:1147
    Russian version PDF:330
    English version PDF:16
    References:81
    First page:39
     
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