16 citations · 34 across the 16 of their papers we have counts for
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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…
Some -series identities extending work of Andrews, Crippa, and Simon on sums of divisors functions
Kathrin Bringmann, Chris Jennings-Shaffer
In this article we extend a theorem of Andrews, Crippa, and Simon on the asymptotic behavior of polynomials defined by a general class of recursive equations. Here the polynomials…