Kathrin Bringmann

Affiliation: University of Minnesota

Email: bringman@umn.edu

Title Of Talk: Marked Durfee symbols and quasimock theta functions

Abstract: The modularity of the partition generating function has many important consequences, for example asymptotics and congruences for p(n). Recently it became clear that the rank, a partition statistic introduced by Dyson, is related to weak Maass forms, a class of functions which are related to modular forms. Here we do a further step towards understanding how weak Maass forms arise from interesting partition statistics by placing certain marked Durfee symbols into the framework of weak Maass forms. To do this we construct a new class of functions which we call quasiweak Maass forms because they have quasimodular forms as components.

Last update made Wed Mar 5 19:23:56 EST 2008.
Please report problems to: frank@math.ufl.edu