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Prikladnaya Diskretnaya Matematika, 2014, Number 1(23), Pages 20–26
(Mi pdm443)
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This article is cited in 5 scientific papers (total in 5 papers)
Theoretical Foundations of Applied Discrete Mathematics
Primitive sets of numbers being equivalent by Frobenius
V. M. Fomichev
Financial University under the Government of the Russian Federation, Moscow, Russia
Abstract:
Equivalence of primitive sets of natural numbers is investigated in connection with the Diophantine Frobenius problem. The equivalence is used for simplifying calculations of Frobenius number $g(a_1,\dots,a_k)$ and of the whole set of numbers that are not contained in the additive semigroup generated by a set $\{a_1,\dots,a_k\}$.
Keywords:
Frobenius number, primitive set, additive semigroup generated by set of numbers.
Citation:
V. M. Fomichev, “Primitive sets of numbers being equivalent by Frobenius”, Prikl. Diskr. Mat., 2014, no. 1(23), 20–26
Linking options:
https://www.mathnet.ru/eng/pdm443 https://www.mathnet.ru/eng/pdm/y2014/i1/p20
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