Quotient sets

02/11/2014 - 12:15pm
02/11/2014 - 1:10pm
Stephan Ramon Garcia (Pomona College)

Given a subset A of the natural numbers, what can be said of the set of quotients obtained from A? For instance, is the set of quotients of prime numbers dense in the positive reals? We discuss a host of interesting and surprising results about quotient sets, highlighting applications to certain systems of simultaneous Diophantine equations with side constraints. The talk should be accessible to undergraduates. This is joint work with N.Simon ('08), V.Selhorst-Jones ('09), D.Poore ('11), M.Dairyko ('13), B.Lutz ('13), B.Brown ('15), and M.Someck ('15).

Mudd Science Library 126, Pomona College