On odd perfect numbers

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

Title: AfricArXiv Preprints

Publisher: ScienceOpen

Publication date (Electronic preprint): 20 September 2022

Affiliations

[1 ] African Institute for Mathematical sciences

Author notes

[* ]Email: theophilus@ 123456aims.edu.gh .

Author information

Theophilus Agama https://orcid.org/0000-0001-7790-9368

Article

DOI: 10.14293/111.000/000046.v1

SO-VID: fb25cb7e-7827-46fa-aba1-f8153ba1bbc9

License:

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

Date received : 20 September 2022

Data availability: Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

ScienceOpen disciplines: Mathematics

Keywords: canonical,odd perfect,canonical product,disc,degenerative,non-degenerative