3 citations · 4 across the 3 of their papers we have counts for
4 papers
Crossings and alignments of permutations
Sylvie Corteel
We derive the continued fraction form of the generating function of some new -analogs of the Eulerian numbers introduced by Lauren Williams building on work o…
Partitions and Compositions defined by inequalities
S. Corteel, C. D. Savage
We consider sequences of integers defined by a system of linear inequalities with integer coefficients. We show that when the constraints are strong enough to guarantee that all th…
Lecture Hall Theorems, q-series and Truncated Objects
S. Corteel, C. D. Savage
We show here that the refined theorems for both lecture hall partitions and anti-lecture hall compositions can be obtained as straightforward consequences of two q-Chu Vandermonde…
Random partitions with non negative rth differences
Rod Canfield, Sylvie Corteel, Pawel Hitczenko
Let be the set of partitions of n with non negative rth differences. Let be a partition chosen uniformly at random among the set . Let be a positive rth…