SMS scnews item created by Andrew Mathas at Thu 24 Oct 2013 1351
Expiry: 29 Oct 2013
Calendar1: 29 Oct 2013 1500-1600
CalLoc1: AGR Seminar
CalTitle1: AGR Seminar: Hankel Determinants Reduced to Naught
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Hankel Determinants Reduced to Naught
Mr Daniel Sutherland (CARMA, The University of Newcastle)
University of Newcastle (CARMA)
In this talk we shall investigate some properties of the Hankel determinant and prove some technical results. It will be seen that the concept of a Pad=E9 approximant provides us with an avenue to apply some of our discoveries. By taking advantage of a familiar Hankel determinant we shall employ Pad=E9 approximation to an appropriately constructed power series to demonstrate an exotic proof of the irrationality of log(2). We will comment on recent attempts to extend this proof to more ambitious targets and where this work may lead to in the future.
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