4 papers · 1 filter
On congruence conjectures of Andrews and Bachraoui
Koustav Banerjee, Kathrin Bringmann, Mohamed El Bachraoui
Andrews and the third author recently studied congruences for certain restricted two-color partitions. They made two conjectures for Ramanujan-type congruences and a vanishing iden…
On a conjecture of Andrews and Bachraoui
Koustav Banerjee, Kathrin Bringmann, William J. Keith
Recently, Andrews and Bachraoui considered a generating function associated with certain two-color partitions, and conjectured that this function has non-negative coef…
Restricted Overpartitions and concave compositions: their modularity and asymptotics
Koustav Banerjee, Kathrin Bringmann, Atul Dixit
In this paper we study restricted overpartitions and concave compositions. In several cases the resulting generating functions involve simultaneously modular forms, mock theta func…
On a generating function of Niebur-Poincaré series
Kathrin Bringmann, Jay Jorgenson, Lejla Smajlović
Let be a Fuchsian group of the first kind which has a cusp of width one. In this paper, we first consider a generating function formed with t…