Dr. Sander Zwegers (UCD)

will speak on

Appell-Lerch sums and their modular transformation properties

Time: 4:00PM
Date: Wed 5th December 2007
Location: Mathematical Sciences Seminar Room [map]

Abstract: In this talk, we'll discuss the so called Appell functions. These
functions and their elliptic and modular transformation properties have
been studied by Appell (1884), Lerch (1892), Mordell (1920), and others,
and more recently by Polishchuk (2001) and Semikhatov-Taormina-Tipunin
(2004) . Also, they show up in the theory of mock theta functions
(Watson, 1936 and Ono-Bringmann, 2006).
We'll discuss the elliptic and modular transformation properties of
these functions in detail and give some general results. As an example,
we get a generalization of a result by Ono-Bringmann, concerning the
rank generating function.

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

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