Author ORCID Identifier

http://orcid.org/0000-0003-2038-362X

Degree Year

2019

Document Type

Thesis

Degree Name

Bachelor of Arts

Department

Mathematics

Advisor(s)

Kevin Woods

Keywords

Dedekind Sums, Lattice point enumeration, Number theory

Abstract

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.

Included in

Mathematics Commons

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