Simultaneous Diophantine equations with side constraints: an elementary method

04/07/2009 - 12:15pm
04/07/2009 - 1:10pm
Stephan Garcia (Pomona College)

We discuss an elementary technique for demonstrating the existence of infinitely many solutions (or lack thereof) to certain systems of simultaneous Diophantine equations with side constraints. The techniques involved are relatively simple and the talk should be accessible to undergraduates. This is joint work with N.Simon '08, V.Selhorst-Jones '09, and D.Poore '11.

ML 211