Multiperfect Numbers in Certain Quadratic Rings
Number Theory
2015-06-18 v1
Abstract
Using an extension of the abundancy index to imaginary quadratic rings that are unique factorization domains, we investigate what we call -powerfully -perfect numbers in these rings. This definition serves to extend the concept of multiperfect numbers that have been defined and studied in the integers. At the end of the paper, as well as at various points throughout the paper, we point to some potential areas for further research.
Cite
@article{arxiv.1506.05411,
title = {Multiperfect Numbers in Certain Quadratic Rings},
author = {Colin Defant},
journal= {arXiv preprint arXiv:1506.05411},
year = {2015}
}
Comments
15 pages, 0 figures. arXiv admin note: substantial text overlap with arXiv:1412.3072, arXiv:1412.3105