Unit Fractions in Norm-Euclidean Rings of Integers
Number Theory
2014-05-27 v2
Abstract
In this paper we make a Gaussian integer version of the Erd\H{o}s-Straus conjecture and we solve the Erd\H{o}s-Straus diophantine equation over the rings of integers of norm-Euclidean quadratic fields.
Keywords
Cite
@article{arxiv.1405.4025,
title = {Unit Fractions in Norm-Euclidean Rings of Integers},
author = {Kyle Bradford and Eugen J. Ionascu},
journal= {arXiv preprint arXiv:1405.4025},
year = {2014}
}