Amanda Folsom

Affiliation: University of Wisconsin

Email: folsom@math.wisc.edu

Title Of Talk: q-series and weight 3/2 Maass forms

Abstract: Despite the presence of many famous examples, the precise interplay between basic hypergeometric series and modular forms remains a mystery. We consider this problem for canonical spaces of weight 3/2 harmonic Maass forms. Using recent work of Zwegers, we exhibit forms that have the property that their holomorphic parts arise from Lerch-type series, which in turn may be formulated in terms of the Rogers-Fine basic hypergeometric series. Classical theta functions play a prominent role, and as an application, we relate our results to earlier work of Zagier, Hirzebruch-Zagier, and Eichler, pertaining to Hurwitz class numbers. This is joint work with Kathrin Bringmann and Ken Ono.

Last update made Mon Feb 16 15:43:00 EST 2009.
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