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Dedekind Sums: Properties And Applications To Number Theory And Lattice Point Enumeration, Oliver Meldrum
Dedekind Sums: Properties And Applications To Number Theory And Lattice Point Enumeration, Oliver Meldrum
Honors Papers
In this paper, we will explore the origins, applications, and properties of these sums and one of their generalizations. We seek to explain what these sums represent and how they behave by exploring some of their arithmetic properties. In addition, we hope to show the reader why one should care about these sums. We do this by presenting two important areas in which these sums appear: number theory and the study of enumerating lattice points inside of polytopes.