Number Theory

   

On the Distribution of Perfect Numbers and Related Sequences via the Notion of the Disc

Authors: Theophilus Agama

In this paper we investigate some properties of perfect numbers and associated sequences using the notion of the disc induced by the sum-of-the-divisor function $sigma$. We reveal an important relationship between perfect numbers and abundant numbers.

Comments: 4 Pages. The paper uses the notion of a disc induced by arithmetic function to relate perfect numbers with abundant numbers

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[v1] 2022-10-25 00:46:34

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