Date of Award
8-9-2014
Document Type
Open Access Dissertation
Department
Mathematics
First Advisor
Michael Filaseta
Abstract
The work in this thesis is based on a paper written by Bob Hough in 2013. This thesis addresses the conjecture posed by Erdos that the least modulus for a covering system can be arbitrarily large. Hough proves the least modulus cannot be arbitrarily large. In this thesis, we present Hough’s proof for the case of square-free moduli.
Rights
© 2014, Melissa Kate Bechard
Recommended Citation
Bechard, M. K.(2014). The Non-Existence of a Covering System with all Moduli Distinct, Large and Square-Free. (Doctoral dissertation). Retrieved from https://scholarcommons.sc.edu/etd/2794