Multi-variable Polynomial Solutions to Pell's Equation and Fundamental Units in Real Quadratic Fields

James Mc Laughlin

For each positive integer $n$ it is shown how to construct a finite collection of multivariable polynomials $\{F_i:=F_i(t,X_1,...,X_{\lfloor \frac{n+1}{2}\rfloor })\}$ such…