Number Theory seminar

Thursday, March 15, 2012 3:30 pm - 3:30 pm EDT (GMT -04:00)

Speaker:

Maysum Panju, Pure Mathematics, University of Waterloo

Listing polynomials given restrictions on their roots abstract:

It is an interesting challenge to make a list of all polynomials whose roots fall within a certain range. In this talk, I'll describe an algorithm to generate all Garsia numbers, which are roots of norm 2 polynomials that have all roots of magnitude larger than 1. The algorithm, which enabled further understanding of a previously opaque set of numbers, can be modified to list all Garsia numbers within a specific interval. This uses a neat technique for building up polynomials given restrictions on the roots.