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dc.contributor.authorRice, Alex Joseph
dc.date.accessioned2014-03-04T20:37:14Z
dc.date.available2014-03-04T20:37:14Z
dc.date.issued2012-08
dc.identifier.otherrice_alex_j_201208_phd
dc.identifier.urihttp://purl.galileo.usg.edu/uga_etd/rice_alex_j_201208_phd
dc.identifier.urihttp://hdl.handle.net/10724/28399
dc.description.abstractWe explore quantitative improvements and extensions of two theorems of Sarkozy, the qualitative versions of which state that any set of natural numbers of positive upper density necessarily contains two distinct elements which differ by a perfect square, as well as two elements which differ by one less than a prime number.
dc.languageeng
dc.publisheruga
dc.rightspublic
dc.subjectArithmetic Combinatorics, Additive Combinatorics, Discrete Fourier Analysis, Hardy-Littlewood Circle Method, Sarkozy's Theorem, Intersective Polynomials, P-intersective Polynomials
dc.titleImprovements and extensions of two theorems of Sarkozy
dc.typeDissertation
dc.description.degreePhD
dc.description.departmentMathematics
dc.description.majorMathematics
dc.description.advisorNeil Lyall
dc.description.committeeNeil Lyall
dc.description.committeeRobert Rumely
dc.description.committeeErnest Croot, III
dc.description.committeeMalcolm Adams


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