21 citations · 30 across the 19 of their papers we have counts for
5 papers · 1 filter
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…
On the explicit construction of higher deformations of partition statistics
Kathrin Bringmann
The modularity of the partition generating function has many important consequences, for example asymptotics and congruences for . In a series of papers the author and Ono \c…