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Russian Mathematical Surveys, 2007, Volume 62, Issue 4, Pages 713–725
DOI: https://doi.org/10.1070/RM2007v062n04ABEH004429 (Mi rm7150) 		 
This article is cited in 23 scientific papers (total in 24 papers)

Limit behaviour of large Frobenius numbers

J. Bourgaina, Ya. G. Sinaib

a Institute for Advanced Study, School of Mathematics
b Princeton University, Department of Mathematics
English version PDF (387 kB) Citations (24)
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DOI: https://doi.org/10.1070/RM2007v062n04ABEH004429
Abstract: This is an investigation of the problem of the asymptotic distribution of the Frobenius numbers of $n$ relatively prime integers. For $n=3$ virtually definitive results are obtained. For $n>3$ it is shown that the distributions appearing form a compact set. An essential role is played by the limit theorem for logarithms of denominators of continued fractions of random numbers.
Received: 29.07.2007
Russian version:
Uspekhi Matematicheskikh Nauk, 2007, Volume 62, Issue 4(376), Pages 77–90
DOI: https://doi.org/10.4213/rm7150
Bibliographic databases:
Document Type: Article
UDC: 517.987.5
MSC: Primary 11N25; Secondary 11A55, 11D04, 11K50, 28DXX, 37AXX
Language: English
Original paper language: Russian
Citation: J. Bourgain, Ya. G. Sinai, “Limit behaviour of large Frobenius numbers”, Uspekhi Mat. Nauk, 62:4(376) (2007), 77–90; Russian Math. Surveys, 62:4 (2007), 713–725
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/rm/v62/i4/p77
    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:1327
    Russian version PDF:476
    English version PDF:29
    References:141
    First page:23
     
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