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math.CO2007
Overpartition pairs and two classes of basic hypergeometric series
Jeremy Lovejoy, Olivier Mallet
We study the combinatorics of two classes of basic hypergeometric series. We first show that these series are the generating functions for certain overpartition pairs defined by fr…
math.CO2004
An iterative-bijective approach to generalizations of Schur's theorem
Sylvie Corteel, Jeremy Lovejoy
We start with a bijective proof of Schur's theorem due to Alladi and Gordon and describe how a particular iteration of it leads to some very general theorems on colored partitions.…