Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/27470
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| Title: | Some results on the Frobenius coin problem |
| Authors: | Rosales, J. C.
Branco, M. B. |
| Editors: | Bogdan G. Nita, Montclair State University, Montclair, USA |
| Keywords: | Numerical semigroups
Frobenius number |
| Issue Date: | 2018 |
| Publisher: | Centre for Environment, Social & Economic Research |
| Citation: | J. C. Rosales and M . B. Branco: Some results on the Frobenius Coin Problem, Int. J. Applied
Mathematics and Statistics, volume 57, Issue Number: 6 (2018), Pages 1-9 |
| Abstract: | The Frobenius coin problem consists in finding a formula, in terms of the elements in a minimal system of generators of a numerical semigroup, for computing the Frobenius number and the genus. In this paper we will present some classes of numerical semigroups for which this problem is solved. We give formulas for the Frobenius number, type and the genus for MED-semigroups, Mersenne numerical semigroups, Thabit numerical semigroups, Repunit numerical semigroups and numerical semigroups with multiplicity four. |
| URI: | http://hdl.handle.net/10174/27470 |
| Type: | article |
| Appears in Collections: | MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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