16 citations · 34 across the 16 of their papers we have counts for
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Unimodal Sequence Generating Functions Arising from Partition Ranks
Kathrin Bringmann, Chris Jennings-Shaffer
In this paper we study generating functions resembling the rank of strongly unimodal sequences. We give combinatorial interpretations, identities in terms of mock modular forms, as…
Proofs and reductions of various conjectured partition identities of Kanade and Russell
Kathrin Bringmann, Chris Jennings-Shaffer, Karl Mahlburg
We prove seven of the Rogers-Ramanujan type identities modulo that were conjectured by Kanade and Russell. Included among these seven are the two original modulo identiti…
Peak positions of strongly unimodal sequences
Kathrin Bringmann, Chris Jennings-Shaffer, Karl Mahlburg +1
We study combinatorial and asymptotic properties of the rank of strongly unimodal sequences. We find a generating function for the rank enumeration function, and give a new combina…
Asymptotic Formulas Related to the -rank of Partitions without Repeated Odd Parts
Chris Jennings-Shaffer, Dillon Reihill
We give asymptotic expansions for the moments of the -rank generating function and for the -rank generating function at roots of unity. For this we apply the Hardy-Ramanu…
A note on Andrews' partitions with parts separated by parity
Kathrin Bringmann, Chris Jennings-Shaffer
In this note we give three identities for partitions with parts separated by parity, which were recently introduced by Andrews.