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Izvestiya: Mathematics, 2012, Volume 76, Issue 4, Pages 760–819
DOI: https://doi.org/10.1070/IM2012v076n04ABEH002604
(Mi im7302)
 

This article is cited in 3 scientific papers (total in 3 papers)

The mean value of Frobenius numbers with three arguments

D. Frolenkov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
References:
Abstract: We get an asymptotic formula for the mean value of Frobenius numbers with three arguments when averaged with respect to three parameters.
Keywords: Frobenius numbers, exponential sums.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00759-а
Received: 28.02.2011
Revised: 14.06.2011
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2012, Volume 76, Issue 4, Pages 125–184
DOI: https://doi.org/10.4213/im7302
Bibliographic databases:
Document Type: Article
UDC: 511.335+511.336
MSC: 11D07, 11D45, 11L07
Language: English
Original paper language: Russian
Citation: D. Frolenkov, “The mean value of Frobenius numbers with three arguments”, Izv. RAN. Ser. Mat., 76:4 (2012), 125–184; Izv. Math., 76:4 (2012), 760–819
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/im7302
  • https://doi.org/10.1070/IM2012v076n04ABEH002604
  • https://www.mathnet.ru/eng/im/v76/i4/p125
  • This publication is cited in the following 3 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:570
    Russian version PDF:255
    English version PDF:9
    References:62
    First page:39
     
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