Date of Award
2012
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Advisor
Vicknair, J. Paul
Second Advisor
Hasan, Zahid
Third Advisor
Okon, James, and Williams, Peter
Abstract
This study aims to extend the notion of continued fractions to a new field Q (x)*, in order to find solutions to generalized Pell's Equations in Q [x] . The investigation of these new solutions to Pell's Equation will begin with the necessary extensions of theorems as they apply to polynomials with rational coefficients and fractions of such polynomials in order to describe each "family" of solutions.
Recommended Citation
Castro, Kyle Christopher, "Solutions to a generalized Pell equation" (2012). Theses Digitization Project. 4095.
https://scholarworks.lib.csusb.edu/etd-project/4095
