English

On the Form of Odd Perfect Gaussian Integers

Number Theory 2008-05-15 v1

Abstract

We extend the sum-of-divisors function to the complex plane via the Gaussian integers. Then we prove a modified form of Euler's classification of odd perfect numbers.

Keywords

Cite

@article{arxiv.0805.2092,
  title  = {On the Form of Odd Perfect Gaussian Integers},
  author = {Matthew Ward},
  journal= {arXiv preprint arXiv:0805.2092},
  year   = {2008}
}
R2 v1 2026-06-21T10:40:30.171Z