The Frobenius number in the set of numerical semigroups with fixed multiplicity and genus Robles-Pérez, Aureliano M. Rosales González, José Carlos Numerical semigroups Frobenius number Multiplicity Genus Electronic version of an article published as International Journal of Number Theory, 2017, Vol. 13, No. 04 : pp. 1003-1011 https://doi.org/10.1142/S1793042117500531 © copyright World Scientific Publishing Company http://www.worldscientific.com/ 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. 2018-03-05T12:43:31Z 2018-03-05T12:43:31Z 2016-11 info:eu-repo/semantics/article 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] 1793-0421 1793-7310 http://hdl.handle.net/10481/49814 10.1142/S1793042117500531 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ info:eu-repo/semantics/openAccess Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License World Scientific Publishing