Author ORCID Identifier
Degree Year
2019
Document Type
Thesis - Open Access
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.
Repository Citation
Meldrum, Oliver, "Dedekind Sums: Properties and Applications to Number Theory and Lattice Point Enumeration" (2019). Honors Papers. 131.
https://digitalcommons.oberlin.edu/honors/131
