16 citations · 34 across the 16 of their papers we have counts for
4 papers · 1 filter
On a modularity conjecture of Andrews, Dixit, Schultz, and Yee for a variation of Ramanujan's
Kathrin Bringmann, Chris Jennings-Shaffer, Karl Mahlburg
We analyze the mock modular behavior of , a partition function introduced by Andrews, Dixit, Schultz, and Yee. This function arose in a study of smallest parts functi…
Higher Order Smallest Parts Functions and Rank-Crank Moment Inequalities from Bailey Pairs
Catherine Babecki, Chris Jennings-Shaffer, Geoffrey Sangston
We generalize a result of Garvan on inequalities and interpretations of the moments of the partition rank and crank functions. In particular for nearly 30 Bailey pairs, we introduc…
Overpartition Rank Differences Modulo 7 By Maass Forms
Chris Jennings-Shaffer
Using that the overpartition rank function is the holomorphic part of a harmonic Maass form, we deduce formulas for the rank differences modulo 7. To do so we make improvements on…
The generating function of the -rank of partitions without repeated odd parts as a mock modular form
Chris Jennings-Shaffer
By work of Bringmann, Ono, and Rhoades it is known that the generating function of the -rank of partitions without repeated odd parts is the so-called holomorphic part of a ce…