George Andrews

Affiliation: Penn State University

Email: andrews@math.psu.edu

Title Of Talk: Parity in Partition Identities

Abstract: Parity has played a substantial role in partition from Euler onward. In the last few decades, studies beginning with the Goellnit-Gordon identities and continuing with the work of Alladi have continued these developments. In this talk, we shall discuss several new discoveries. First we look at the appearances of even parts in the Rogers-Ramanujan-Gordon identities. We shall also introduce "parity indices" which not only interact with the Rogers-Ramanujan identities but also throw light on mock theta functions. Special attention will be given to the role played by the little q-Jacobi polynomials.

Last update made Mon Jan 19 23:39:30 EST 2009.
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