A Fundamental Unit of O_K

Author

Susana L. MunozFollow

Date of Award

3-2015

Document Type

Thesis

Degree Name

Master of Arts in Mathematics

Department

Mathematics

First Reader/Committee Chair

J. Paul Vicknair

Abstract

In the classical case we make use of Pells equation to compute units in the ring O_F. Consider the parallel to the classical case and the quadratic field extension that creates the ring O_K. 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.

Recommended Citation

Munoz, Susana L., "A Fundamental Unit of O_K" (2015). Electronic Theses, Projects, and Dissertations. 133.
https://scholarworks.lib.csusb.edu/etd/133