Date of Award
4-23-1993
Document Type
Thesis
Degree Name
Bachelor of Arts
Department
Mathematics
First Advisor
Dr. James A Davis
Abstract
This paper introduces cyclotomic and quadratic fields and explores some of their properties and applications to problems in number theory. After some preliminary definitions and theorems, the paper looks at the relationship between quadratic and cyclotomic fields, at Kummer's lemma on units in the pth cyclotomic field, and at the Quadratic Reciprocity Law and its applications to diophantine equations.
Recommended Citation
Mellinger, Pam, "Topics in cyclotomic and quadratic fields" (1993). Honors Theses. 552.
https://scholarship.richmond.edu/honors-theses/552