Showing math.COShow all
2 papers · 1 filter
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.CO2006
Overpartitions, lattice paths and Rogers-Ramanujan identities
Sylvie Corteel, Olivier Mallet
We extend partition-theoretic work of Andrews, Bressoud, and Burge to overpartitions, defining the notions of successive ranks, generalized Durfee squares, and generalized lattice…