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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
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.
DOI:
https://doi.org/10.4213/im7302
 Full text:
PDF file (792 kB)
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English version:
Izvestiya: Mathematics, 2012, 76:4, 760–819
Bibliographic databases:
     
Document Type:
Article
UDC:
511.335+511.336
MSC: 11D07, 11D45, 11L07
Received: 28.02.2011
Revised: 14.06.2011
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:
http://mi.mathnet.ru/eng/izv7302https://doi.org/10.4213/im7302 http://mi.mathnet.ru/eng/izv/v76/i4/p125
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
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W. M. Schmidt, “Integer matrices, sublattices of $\mathbb Z^m$, and Frobenius numbers”, Monatsh. Math., 2015
-
A. V. Ustinov, “Three-dimensional continued fractions and Kloosterman sums”, Russian Math. Surveys, 70:3 (2015), 483–556
 -
I. S. Vorob'ev, “On the Frobenius problem for three arguments”, Sb. Math., 207:6 (2016), 816–840
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