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Izvestiya: Mathematics, 2010, Volume 74, Issue 5, Pages 1023–1049
DOI: https://doi.org/10.1070/IM2010v074n05ABEH002514 (Mi im4053) 		 
This article is cited in 15 scientific papers (total in 16 papers)

On the distribution 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 (586 kB) Citations (16)
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DOI: https://doi.org/10.1070/IM2010v074n05ABEH002514
Abstract: We prove the existence of the limit density distribution for normalized Frobenius numbers with three arguments. The density is found explicitly.
Keywords: Frobenius numbers, Kloosterman sums, continued fractions.
Received: 14.10.2008
Revised: 23.06.2009
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2010, Volume 74, Issue 5, Pages 145–170
DOI: https://doi.org/10.4213/im4053
Bibliographic databases:
Document Type: Article
UDC: 511.335+511.336+517.524
MSC: 11D85, 11D04
Language: English
Original paper language: Russian
Citation: A. V. Ustinov, “On the distribution of Frobenius numbers with three arguments”, Izv. RAN. Ser. Mat., 74:5 (2010), 145–170; Izv. Math., 74:5 (2010), 1023–1049
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  • https://www.mathnet.ru/eng/im/v74/i5/p145
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:848
    Russian version PDF:246
    English version PDF:11
    References:90
    First page:26
     
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