PhD Completion Seminar

4:00 pm

Thursday, 12th Dec 2013

V206, Mathematics Building

Mr Daniel Sutherland

(CARMA, The University of Newcastle)

Hankel Determinants Reduced to Naught

In this seminar I will review my recent work into Hankel determinants and their number theoretic uses. I will briefy touch on the p-adic evaluation of a particular determinant and comment on how Hankel determinants together with Padé approximants can be used in some irrationality proofs. A fundamental determinant property will be demonstrated and I will show what implications this holds for positive Hankel determinants and where we might go from here.