Number Theory

    

Complex Circles of Partition and the Asymptotic Lemoine Conjecture

Authors: Theophilus Agama, Berndt Gensel

Using the methods of the complex circles of partition (cCoPs), we study textit{interior} and textit{exterior} points of such structures in the complex plane. With similarities to textit{quotient groups} inside of the group theory we define textit{quotient cCoPs}. With it we can prove an asymptotic version of the textbf{Lemoine Conjecture}.

Comments: 13 Pages. This paper resolves Lemoine's conjecture in an asymptotical sense using the method of complex circles of partition.

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[v1] 2022-10-14 01:38:14

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