38 citations · 125 across the 18 of their papers we have counts for
6 papers · 1 filter
A partition identity and the universal mock theta function
Kathrin Bringmann, Jeremy Lovejoy, Karl Mahlburg
We prove analytic and combinatorial identities reminiscent of Schur's classical partition theorem. Specifically, we show that certain families of overpartitions whose parts satisfy…
High density piecewise syndeticity of sumsets
Mauro Di Nasso, Isaac Goldbring, Renling Jin +3
Renling Jin proved that if A and B are two subsets of the natural numbers with positive Banach density, then A+B is piecewise syndetic. In this paper, we prove that, under various…
Asymptotic formulas for stacks and unimodal sequences
Kathrin Bringmann, Karl Mahlburg
We study enumeration functions for unimodal sequences of positive integers, where the size of a sequence is the sum of its terms. We survey known results for a number of natural va…
Schur's partition theorem and mixed mock modular forms
Kathrin Bringmann, Karl Mahlburg
We study families of partitions with gap conditions that were introduced by Schur and Andrews, and describe their fundamental connections to combinatorial q-series and automorphic…
On a sumset conjecture of Erdős
Mauro Di Nasso, Isaac Goldbring, Renling Jin +3
Erdős conjectured that for any set with positive lower asymptotic density, there are infinite sets such that . We…
Quasimodular forms and sl(m|m)^ characters
Kathrin Bringmann, Amanda Folsom, K. Mahlburg
In this paper, we establish automorphic properties and asymptotic behaviors of characters due to Kac-Wakimoto pertaining to highest weight modules in the case $…