11 citations · 25 across the 12 of their papers we have counts for
Showing 2014 · math.NTShow all
2 papers · 2 filters
math.NT2014
On the asymptotic behavior of unimodal rank generating functions
Kathrin Bringmann, Byungchan Kim
In a recent paper, J. Lovejoy and the second author conjectured that ranks for four types of unimodal like sequences satisfy certain inequalities. In this paper, we prove these con…
math.NT2014
Dissections of a "strange" function
Scott Ahlgren, Byungchan Kim
The "strange" function of Kontsevich and Zagier is defined by \[F(q):=\sum_{n=0}^\infty(1-q)(1-q^2)\dots(1-q^n).\] This series is defined only when is a root of unity, and prov…