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The Frobenius problem for Mersenne numerical semigroups

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Abstract

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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Authors and Affiliations

  1. Departamento de Álgebra, Universidad de Granada, 18071, Granada, Spain

    J. C. Rosales

  2. Departamento de Matemática, Universidade de Évora, 7000, Évora, Portugal

    M. B. Branco

  3. Universidade de Évora, 7000, Évora, Portugal

    D. Torrão

Authors
  1. J. C. Rosales
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  2. M. B. Branco
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  3. D. Torrão
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Corresponding author

Correspondence to M. B. Branco.

Additional information

J. C. Rosales was partially supported by the research groups FQM-343, FQM-5849 (Junta de Andalucia/Feder) and Project MTM2010-15595 (MICINN, Spain).

M. B. Branco is supported by Universidade de Évora (ECT) and the CIMA-UE 2013.

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Rosales, J.C., Branco, M.B. & Torrão, D. The Frobenius problem for Mersenne numerical semigroups. Math. Z. 286, 741–749 (2017). https://doi.org/10.1007/s00209-016-1781-z

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  • DOI: https://doi.org/10.1007/s00209-016-1781-z

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