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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On the generalized Feng-Rao numbers of numerical semigroups generated by intervals
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by M. Delgado, J. I. Farrán, P. A. García-Sánchez and D. Llena
Math. Comp. 82 (2013), 1813-1836
DOI: https://doi.org/10.1090/S0025-5718-2013-02673-7
Published electronically: January 28, 2013

Abstract:

We give some general results concerning the computation of the generalized Feng-Rao numbers of numerical semigroups. In the case of a numerical semigroup generated by an interval, a formula for the $r^{\mathrm {th}}$ Feng-Rao number is obtained.
References
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Bibliographic Information
  • M. Delgado
  • Affiliation: CMUP, Departamento de Matematica, Faculdade de Ciencias, Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal
  • Email: mdelgado@fc.up.pt
  • J. I. Farrán
  • Affiliation: Departamento de Matemática Aplicada, Escuela Universitaria de Informática, Campus de Segovia - Universidad de Valladolid, Plaza de Santa Eulalia 9 y 11 - 40005 Segovia, Spain
  • Email: jifarran@eii.uva.es
  • P. A. García-Sánchez
  • Affiliation: Departamento de Álgebra, Universidad de Granada, 18071 Granada, España
  • Email: pedro@ugr.es
  • D. Llena
  • Affiliation: Departamento de Geometría, Topología y Química Orgánica, Universidad de Almería, 04120 Almería, España
  • Email: dllena@ual.es
  • Received by editor(s): May 19, 2011
  • Received by editor(s) in revised form: November 22, 2011
  • Published electronically: January 28, 2013
  • Additional Notes: The first author was partially funded by the European Regional Development Fund through the program COMPETE and by the Portuguese Government through the FCT - Fundação para a Ciência e a Tecnologia under the project PEst-C/MAT/UI0144/2011.
    The second author was supported by the project MICINN-MTM-2007-64704.
    The third and fourth authors were supported by the projects MTM2010-15595, FQM-343 and FEDER funds
    The third author was also supported by the project FQM-5849.
  • © Copyright 2013 American Mathematical Society
  • Journal: Math. Comp. 82 (2013), 1813-1836
  • MSC (2010): Primary 20M14, 11Y55, 11T71
  • DOI: https://doi.org/10.1090/S0025-5718-2013-02673-7
  • MathSciNet review: 3042586