The Frobenius problem for Mersenne numerical semigroups

Mathematische Zeitschrift - Tập 286 - Trang 741-749 - 2016
J. C. Rosales1, M. B. Branco2, D. Torrão3
1Departamento de Álgebra, Universidad de Granada, Granada, Spain
2Departamento de Matemática, Universidade de Évora, Évora, Portugal
3Universidade de Évora, Évora, Portugal

Tóm tắt

In this paper, we give formulas for the embedding dimension, the Frobenius number, the type and the genus for a numerical semigroups generated by the Mersenne numbers greater than or equal to a given Mersenne number.

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