73 citations · 366 across the 102 of their papers we have counts for
6 papers · 1 filter
On a conjecture of Berndt and Kim
Kathrin Bringmann, Amanda Folsom
We prove a recent conjecture of Berndt and Kim regarding the positivity of the coefficients in the asymptotic expansion of a class of partial theta functions. This generalizes resu…
Almost harmonic Maass forms and Kac-Wakimoto characters
Kathrin Bringmann, Amanda Folsom
We resolve a question of Kac, and explain the automorphic properties of characters due to Kac-Wakimoto pertaining to sl(m|n)^ highest weight modules, for n \geq 1. We prove that th…
Partial theta functions and mock modular forms as q-hypergeometric series
Kathrin Bringmann, Amanda Folsom, Robert C. Rhoades
Ramanujan studied the analytic properties of many -hypergeometric series. Of those, mock theta functions have been particularly intriguing, and by work of Zwegers, we now know h…
Mock period functions, sesquiharmonic Maass forms, and non-critical values of L-functions
Kathrin Bringmann, Nikolaos Diamantis, Martin Raum
We introduce a new technique of completion for 1-cohomology which parallels the corresponding technique in the theory of mock modular forms. This technique is applied in the contex…
Kohnen's limit process for real-analytic Siegel modular forms
Kathrin Bringmann, Martin Raum, Olav Richter
Kohnen introduced a limit process for Siegel modular forms that produces Jacobi forms. He asked if there is a space of real-analytic Siegel modular forms such that skew-holomorphic…
Inequalities for full rank differences of 2-marked Durfee symbols
Kathrin Bringmann, Ben Kane
In this paper, we obtain infinitely many non-trivial identities and inequalities between full rank differences for 2-marked Durfee symbols, a generalization of partitions introduce…