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math.CO2004★ 10 cited
Irreducible compositions and the first return to the origin of a random walk
Edward A. Bender, Gregory F. Lawler, Robin Pemantle +1
Let be a pair of compositions of into positive parts. We say this pair is {\em irreducible} if there is no positive for…
math.CO2000
Asymptotics of Multivariate Sequences, part I. Smooth points of the singular variety
R. Pemantle, M. C. Wilson
Given a multivariate generating function F, we determine asymptotics for the coefficients. Our approach is to use Cauchy's integral formula near singular points of F, resulting in…