Date of Award
Master of Arts in Mathematics
Vicknair, J. Paul
Okon, James, and Williams, Peter
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.
Castro, Kyle Christopher, "Solutions to a generalized Pell equation" (2012). Theses Digitization Project. 4095.