Date of Award
Master of Arts in Mathematics
First Reader/Committee Chair
J. Paul Vicknair
In the classical case we make use of Pells equation to compute units in the ring OF. Consider the parallel to the classical case and the quadratic field extension that creates the ring OK. We use the generalized Pell's equation to find the units in this ring since they are solutions. Through the use of continued fractions we may further characterize this ring and compute its units.
Munoz, Susana L., "A Fundamental Unit of O_K" (2015). Electronic Theses, Projects, and Dissertations. 133.