Robert Osburn (UCD)

will speak on

Automorphic properties of combinatorial generating functions

Time: 3:00PM
Date: Wed 6th April 2011
Location: Mathematical Sciences Seminar Room [map]

Abstract: An intriguing and almost completely unsolved problem is to understand the overlap between classes of $q$-hypergeometric series and automorphic forms. For example, we now know that each of Ramanujan's mock theta functions is the holomorphic part of a weak Maass form. In this talk, we provide a framework which generalizes recent work of Andrews and discuss automorphic properties of the associated $q$-hypergeometric series. This is joint work with Kathrin Bringmann and Jeremy Lovejoy.

(This talk is part of the K-Theory, Quadratic Forms and Number Theory series.)

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