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Refinement of a generalized Fermat’s last theorem conjecture in natural vector spaces

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Abstract

This study, at the light of a systematic computational search, provides a refined generalized Fermat’s last theorem conjecture with respect to the one, which appeared in a recent paper in this journal dealing with a Fermat-like behavior, attached in turn to the Minkowski norms defined within natural vector spaces. The aim of this kind of studies is to connect vector spaces with Boolean Hypercubes. This pretends also uncover the inner structure of vector sets, which appear important for the vectorial description of molecular structures and in this manner lead to new QSPR developments.

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Authors and Affiliations

  1. Secció de Química Quàntica i Matemàtica, Centre Europeu de Recerca Teòrica, Universitat de Girona, Campus de Montilivi, 17003, Girona, Catalonia, Spain

    Ramon Carbó-Dorca

  2. SciCom Research Group, Escuela Superior de Informática, Universidad de Castilla-La Mancha, Paseo de la Universidad 4, 13004, Ciudad Real, Spain

    Camelia Muñoz-Caro, Alfonso Niño & Sebastián Reyes

Authors
  1. Ramon Carbó-Dorca
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  2. Camelia Muñoz-Caro
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  3. Alfonso Niño
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  4. Sebastián Reyes
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Correspondence to Ramon Carbó-Dorca.

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Carbó-Dorca, R., Muñoz-Caro, C., Niño, A. et al. Refinement of a generalized Fermat’s last theorem conjecture in natural vector spaces. J Math Chem 55, 1869–1877 (2017). https://doi.org/10.1007/s10910-017-0766-4

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  • DOI: https://doi.org/10.1007/s10910-017-0766-4

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