16 citations · 34 across the 16 of their papers we have counts for
5 papers · 1 filter
Exotic Bailey-Slater SPT-Functions I: Group A
Chris Jennings-Shaffer
We introduce several spt-type functions that arise from Bailey pairs. We prove simple Ramanujan type congruences for these functions which can be explained by a spt-crank-type func…
Congruences for Partition Pairs with Conditions
Chris Jennings-Shaffer
We prove congruences for the number of partition pairs such that is non-empty, , and where is the smallest part and…
Another proof of two modulo 3 congruences and another SPT crank for the number of smallest parts in overpartitions with even smallest part
Chris Jennings-Shaffer
By considering the -rank of an overpartition as well as a residual crank, we give another combinatorial refinement of the congruences $\overline{\mbox{spt}}_2(3n)\equiv \overl…
Rank and Crank Moments for Partitions without Repeated Odd Parts
Chris Jennings-Shaffer
Using quasimodular forms with respect to we find exact relations between the M2-rank for partitions without repeated odd parts and three residual cranks. From these identi…
Higher order spt functions for overpartitions, overpartitions with smallest part even, and partitions without repeated odd parts
Chris Jennings-Shaffer
We consider the symmetrized moments of three ranks and cranks, similar to the work of Garvan for the rank and crank of a partition. By using Bailey pairs and elementary rearrangeme…