38 citations · 125 across the 18 of their papers we have counts for
26 papers
The Asymptotic Distribution of the Rank for Unimodal Sequences
Kathrin Bringmann, Chris Jennings-Shaffer, Karl Mahlburg
We study the asymptotic behavior of the rank statistic for unimodal sequences. We use analytic techniques involving asymptotic expansions in order to prove asymptotic formulas for…
On a Tauberian Theorem of Ingham and Euler-Maclaurin Summation
Kathrin Bringmann, Chris Jennings-Shaffer, Karl Mahlburg
We discuss two theorems in analytic number theory and combinatory analysis that have seen increased use in recent years. A corollary to a Tauberian theorem of Ingham allows one to…
Higher depth quantum modular forms and plumbed -manifolds
Kathrin Bringmann, Karl Mahlburg, Antun Milas
In this paper we study new invariants attached to plumbed -manifolds that were introduced by Gukov, Pei, Putrov, and Vafa. These remarkable …
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…
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…