Monday, April 19, 2010, 7:00-8:30pm, Rm 410 ILB 

Title: Pell’s equation

Abstract:
The simplest Pell's equation has the form x^2-2y^2=1. The problem is to 
find its integer solutions. It is easy to check that the pairs (3,2), 
(17,12), (99,70), and (577,408) are the solutions. In fact it has 
infinitely many solutions. I will explain a method how to find all the 
solutions and show its relations to continued fractions and to the 
Chebyshev polynomials.