English

Perfect Numbers in the Ring of Eisenstein Integers

Number Theory 2016-03-01 v1

Abstract

One of the many number theoretic topics investigated by the ancient Greeks was perfect numbers, which are positive integers equal to the sum of their proper positive integral divisors. Mathematicians from Euclid to Euler investigated these mysterious numbers. We present results on perfect numbers in the ring of Eisenstein integers.

Keywords

Cite

@article{arxiv.1602.09106,
  title  = {Perfect Numbers in the Ring of Eisenstein Integers},
  author = {Jordan Hunt and Zachary Parker and Jeff Rushall},
  journal= {arXiv preprint arXiv:1602.09106},
  year   = {2016}
}

Comments

11 pages, 2 figures