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 language||English (US)|
|Number of pages||13|
|Journal||Russian Mathematical Surveys|
|State||Published - Jul 2007|
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