The Frobenius problem for numerical semigroups

作者：Rosales J C; Branco M B^*

来源：Journal of Number Theory, 2011, 131(12): 2310-2319.

DOI：10.1016/j.jnt.2011.05.011

• Numerical semigroup
• Frobenius number
• Genus

In this paper, we characterize those numerical semigroups containing < n(1), n(2)>. From this characterization, we give formulas for the genus and the Frobenius number of a numerical semigroup. These results can be used to give a method for computing the genus and the Frobenius number of a numerical semigroup with embedding dimension three in terms of its minimal system of generators.

• 出版日期2011-12