Equivalence of primitive sets
Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 20-24
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Equivalence of primitive sets of natural numbers is investigated in connection with the diophantine Frobenius problem. The equivalence is used to simplify calculations of Frobenius number $g(a_1,\ldots,a_k)$ and all numbers that are not contained in the additive semigroup generated by the set $\{a_1,\ldots,a_k\}$.
Keywords:
Frobenius's function, primitive set, additive semigroups of numbers.
@article{PDMA_2013_6_a10,
author = {V. M. Fomichev},
title = {Equivalence of primitive sets},
journal = {Prikladnaya Diskretnaya Matematika. Supplement},
pages = {20--24},
publisher = {mathdoc},
number = {6},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PDMA_2013_6_a10/}
}
V. M. Fomichev. Equivalence of primitive sets. Prikladnaya Diskretnaya Matematika. Supplement, no. 6 (2013), pp. 20-24. http://geodesic.mathdoc.fr/item/PDMA_2013_6_a10/