21 citations · 30 across the 19 of their papers we have counts for
10 papers · 1 filter
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…
Quantum modular forms and plumbing graphs of 3-manifolds
Kathrin Bringmann, Karl Mahlburg, Antun Milas
In this paper, we study quantum modular forms in connection to quantum invariants of plumbed 3-manifolds introduced recently by Gukov, Pei, Putrov, and Vafa. We explicitly compute…
On the rationality of cycle integrals of meromorphic modular forms
Claudia Alfes-Neumann, Kathrin Bringmann, Markus Schwagenscheidt
We derive finite rational formulas for the traces of cycle integrals of certain meromorphic modular forms. Moreover, we prove the modularity of a completion of the generating funct…
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…
On the modular completion of certain generating functions
Kathrin Bringmann, Stephan Ehlen, Markus Schwagenscheidt
We complete several generating functions to non-holomorphic modular forms in two variables. For instance, we consider the generating function of a natural family of meromorphic mod…