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      On odd perfect numbers

      Preprint
      In review
      research-article
        1 ,
      AfricArXiv Preprints
      ScienceOpen
      canonical, odd perfect, canonical product, disc, degenerative, non-degenerative
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            Abstract

            In this note, we introduce the notion of the disc induced by an arithmetic function and apply this notion to the odd perfect number problem. We show that under certain special local conditions an odd perfect number exists by exploiting this concept.

            Content

            Author and article information

            Journal
            AfricArXiv Preprints
            ScienceOpen
            20 September 2022
            Affiliations
            [1 ] African Institute for Mathematical sciences
            Author notes
            Article
            10.14293/111.000/000046.v1
            fb25cb7e-7827-46fa-aba1-f8153ba1bbc9

            This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .


            Data sharing not applicable to this article as no datasets were generated or analysed during the current study.
            Mathematics
            canonical,odd perfect,canonical product,disc,degenerative,non-degenerative

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