The Frobenius number in the set of numerical semigroups with fixed multiplicity and genus
Metadatos
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World Scientific Publishing
Materia
Numerical semigroups Frobenius number Multiplicity Genus
Fecha
2016-11Referencia bibliográfica
Robles-Pérez, A.M.; Rosales González, J.C. The Frobenius number in the set of numerical semigroups with fixed multiplicity and genus. International Journal of Number Theory, 13(4): 1003-1011 (2016). [http://hdl.handle.net/10481/49814]
Patrocinador
Both authors are supported by the project MTM2014-55367-P, which is funded by Ministerio de Economía y Competitividad and Fondo Europeo de Desarrollo Regional FEDER, and by the Junta de Andalucía Grant Number FQM-343. The second author is also partially supported by Junta de Andalucía/Feder Grant Number FQM-5849.Resumen
We compute all possible numbers that are the Frobenius number of a numerical semigroup when multiplicity and genus are fixed. Moreover, we construct explicitly numerical semigroups in each case.