Date of Award
Open Access Dissertation
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.
Bechard, M. K.(2014). The Non-Existence of a Covering System with all Moduli Distinct, Large and Square-Free. (Doctoral dissertation). Retrieved from http://scholarcommons.sc.edu/etd/2794