38 citations · 125 across the 18 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.NT2019
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…
math.NT2019
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…
math.NT2019★ 23 cited
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 …