Date of Award
January 2013
Degree Type
Open Access Thesis
Document Type
Master Thesis
Degree Name
Master of Science (MS)
Department
Mathematics and Statistics
First Advisor
Patrick J. Costello
Department Affiliation
Mathematics and Statistics
Abstract
Amicable pairs are two integers where the sum of the proper divisors of one is the other and vice versa. Since the Gaussian integers have many of the properties of the regular integers, we sought to discover whether there exist any pairs of Gaussian integers with the same property. It turns out that they do exist. In fact, some of the normal amicable pairs carry over as Gaussian amicable pairs. Also discovered are pairs that have a complex part.
Copyright
Copyright 2013 Ranthony Ashley Clark
Recommended Citation
Clark, Ranthony Ashley, "Gaussian Amicable Pairs" (2013). Online Theses and Dissertations. 158.
https://encompass.eku.edu/etd/158
