Number Theory Seminar

David McKinnon, University of Waterloo

How crowded can rational solutions be?

Say you've got the equation x^2-2y^2=z^4-1. Lots of rational solutions there, like (1,1,0). How are those solutions distributed in 3-space? In particular, how close can they get to (1,1,0)? This abstract has the questions, but the talk has the answers. Well, some of 'em.