Browsing Theses by Author "Naymie, Cassandra"
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Generalisations of Roth's theorem on finite abelian groups
Naymie, Cassandra (University of Waterloo, 2012-12-18)Roth's theorem, proved by Roth in 1953, states that when A is a subset of the integers [1,N] with A dense enough, A has a three term arithmetic progression (3-AP). Since then the bound originally given by Roth has been ...