Name
Abstract | ||
|---|---|---|
We extend partition-theoretic work of Andrews, Bressoud, and Burge to overpartitions, defining the notions of successive ranks, generalized Durfee squares, and generalized lattice paths, and then relating these to overpartitions defined by multiplicity conditions on the parts. This leads to many new partition and overpartition identities, and provides a unification of a number of well-known identities of the Rogers-Ramanujan type. Among these are Gordon's generalization of the Rogers-Ramanujan identities, Andrews' generalization of the Gollnitz-Gordon identities, and Lovejoy's ''Gordon's theorems for overpartitions.'' |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.jcta.2007.02.004 | J. Comb. Theory, Ser. A |
Keywords | Field | DocType |
rogers–ramanujan identities,partitions,overpartition identity,lattice paths. the authors are partially supported by the aci jeunes chercheurs "partitions d'entiersa la frontiere de la combinatoire,lattice paths,partition-theoretic work,overpartitions,rogers-ramanujan type,multiplicity condition,successive rank,gollnitz-gordon identity,rogers-ramanujan identity,generalized lattice path,rogers-ramanujan identities,new partition,. partitions,des q-series et de la theorie des nombres.",generalized durfee square,rogers ramanujan identities | Discrete mathematics,Combinatorics,Lattice (order),Unification,Partition (number theory),Rogers–Ramanujan identities,Mathematics | Journal |
Volume | Issue | ISSN |
114 | 8 | Journal of Combinatorial Theory, Series A |
Citations | PageRank | References |
5 | 0.64 | 13 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sylvie Corteel | 1 | 266 | 36.33 |
| Olivier Mallet | 2 | 5 | 0.64 |