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      Complex Circles of Partition and the Asymptotic Binary Goldbach Conjecture

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      research-article
        1 , , 2
      AfricArXiv Preprints
      ScienceOpen
      interior point, exterior point, Bertrand postulate, prime number theorem, asymptotic
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            Abstract

            In this work, we continue the complex circle of partition development that was started in our foundational study [3]. With regard to commandits embedding circle, we define interior and exterior points. On this foundation, we expand the concept of point density, established in [2], to include complex circles of partition. We propose the idea of a quotient complex circle of partition and investigate some of its features in analogy to the quotient group in group theory. With this notion, we can prove an asymptotic version of the Binary Goldbach Conjecture

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            Author and article information

            Journal
            AfricArXiv Preprints
            ScienceOpen
            3 October 2022
            Affiliations
            [1 ] African Institute for Mathematical sciences
            [2 ] Carinthia University of Applied Sciences, Spittal on Drau, Austria
            Author notes
            Author information
            https://orcid.org/0000-0001-7790-9368
            https://orcid.org/0000-0002-7563-9090
            Article
            10.14293/111.000/000047.v1
            ec071867-b103-4849-9758-c7de86d4f9fb

            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 .

            History
            : 3 October 2022

            Data sharing not applicable to this article as no datasets were generated or analysed during the current study.
            Mathematics
            interior point,exterior point,Bertrand postulate,prime number theorem,asymptotic

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