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.

Included in

Mathematics Commons

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