Geodesic
On the Frobenius problem for three arguments
Sbornik. Mathematics, Tome 207 (2016) no. 6, pp. 816-840

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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     author = {I. S. Vorob'ev},
     title = {On the {Frobenius} problem for three arguments},
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     url = {http://geodesic.mathdoc.fr/item/SM_2016_207_6_a2/}
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I. S. Vorob'ev. On the Frobenius problem for three arguments. Sbornik. Mathematics, Tome 207 (2016) no. 6, pp. 816-840. http://geodesic.mathdoc.fr/item/SM_2016_207_6_a2/