Abstract:
Asymptotic formulae for the mean values of various characteristics of the additive semigroup generated by three positive integers are obtained theoretically, the first of which is a formula for the number of integers not belonging to this semigroup. A numerical experiment is described which validates the results obtained.
Bibliography: 21 titles.
Keywords:
continued fractions, Frobenius numbers, Kloostermann sums, double-circuit networks.
\Bibitem{Vor16}
\by I.~S.~Vorob'ev
\paper On the Frobenius problem for three arguments
\jour Sb. Math.
\yr 2016
\vol 207
\issue 6
\pages 816--840
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Linking options:
https://www.mathnet.ru/eng/sm8370
https://doi.org/10.1070/SM8370
https://www.mathnet.ru/eng/sm/v207/i6/p53
This publication is cited in the following 1 articles:
I. S. Vorob'ev, A. V. Ustinov, “Symmetric semigroups with three generators”, Sb. Math., 210:12 (2019), 1690–1701
Citation in format AMSBIB
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