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math.CO2019
Asymptotic enumeration of lonesum matrices
Jessica Khera, Erik Lundberg, Stephen Melczer
We provide bivariate asymptotics for the poly-Bernoulli numbers, a combinatorial array that enumerates lonesum matrices, using the methods of Analytic Combinatorics in Several Vari…
math.CO2019
Stationary points at infinity for analytic combinatorics
Yuliy Baryshnikov, Stephen Melczer, Robin Pemantle
On complex algebraic varieties, height functions arising in combinatorial applications fail to be proper. This complicates the description and computation via Morse theory of key t…