22 citations · 62 across the 15 of their papers we have counts for
3 papers · 1 filter
Asymptotics of partition parts in arithmetic progressions
Kathrin Bringmann, Caner Nazaroglu, Jan-Willem M. van Ittersum
We study the distribution of partition parts in arithmetic progressions and find asymptotic results that capture all exponentially growing terms. This is accomplished by studying t…
Quasimodularity and Limiting Behavior for Variations of MacMahon Series
Caner Nazaroglu, Badri Vishal Pandey, Ajit Singh
Motivated by the 1920's seminal work of Major MacMahon, Amdeberhan--Andrews--Tauraso recently introduced an infinite family of -series \[ \mathcal{U}_{t}(a;q):= \sum_{1\le n_1<n…
Statistics for random representations of Lie algebras
Walter Bridges, Kathrin Bringmann, Caner Nazaroglu
In this paper we investigate how a typical, large-dimensional representation looks for a complex Lie algebra. In particular, we study the family o…