Hankel Determinants Reduced to Naught

Host Institution:

University of Newcastle

Title of Seminar:

Hankel Determinants Reduced to Naught

Speaker's Name:

Mr Daniel Sutherland

Speaker's Institution:

CARMA, The University of Newcastle

Time and Date:

Tuesday 29 October 2013, 3.00pm (AEDT)

Seminar Abstracts:

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 Padé approximant provides us with an avenue to apply some of our discoveries. By taking advantage of a familiar Hankel determinant we shall employ Padé 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.

Seminar Convener

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