Limit behaviour of large Probenius numbers

J. Bourgain, Yakov G. Sinai

Research output: Contribution to journalArticle

10 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)713-725
Number of pages13
JournalRussian Mathematical Surveys
Volume62
Issue number4
DOIs
StatePublished - Jul 1 2007

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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