21 citations · 23 across the 6 of their papers we have counts for
7 papers
Rank-Crank type PDE's and non-holomorphic Jacobi forms
Kathrin Bringmann, Sander Zwegers
In this paper we show how Rank-Crank type PDE's (first found by Atkin and Garvan) occur naturally in the framework of non-holomorphic Jacobiforms and find an infinite family of suc…
Partition statistics and quasiweak Maass forms
K. Bringmann, F. Garvan, K. Mahlburg
Andrews recently introduced k-marked Durfee symbols, which are a generalization of partitions that are connected to moments of Dyson's rank statistic. He used these connections to…
Overpartitions and class numbers of binary quadratic forms
Kathrin Bringmann, Jeremy Lovejoy
We show that the Zagier-Eisenstein series shares its non-holomorphic part with certain weak Maass forms whose holomorphic parts are generating functions for overpartition rank diff…
Hecke duality relations of Jacobi forms
Kathrin Bringmann, Bernhard Heim
In this paper we introduce a new subspace of Jacobi forms of higher degree via certain relations among Fourier coefficients. We prove that this space can also be characterized by d…
Dyson's Rank, overpartitions, and weak Maass forms
Kathrin Bringmann, Jeremy Lovejoy
In a series of papers the first author and Ono connected the rank, a partition statistic introduced by Dyson, to weak Maass forms, a new class of functions which are related to mod…
Asymptotics for rank partition functions
Kathrin Bringmann
In this paper, we obtain asymptotic formulas for an infinite class of rank generating functions. As an application, we solve a conjecture of Andrews and Lewis on inequalities betwe…