I only have one paper posted here so far, but maybe I will post more soon.
Pell Equations
When do equations of the form x2 – dy2 = k have solutions x and y in positive integers, and why do we care? These are questions I addressed in my senior honors project at Messiah College. I researched Pell Equations, which have the form above where d and k are integers, d is not a square. Here you can read the paper I wrote in the spring semester of 2006.
