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EJC
2010
13 years 3 months ago
A proof of Bressoud's conjecture related to the Rogers-Ramanujan identities
The Rogers-Ramanujan Identities have many natural and significant generalizations. The generalization presented in this note was first studied by D. Bressoud, by considering the...
Shishuo Fu
JCT
2007
90views more  JCT 2007»
13 years 4 months ago
Overpartitions, lattice paths, and Rogers-Ramanujan identities
We define the notions of successive ranks and generalized Durfee squares for overpartitions. We show how these combinatorial statistics give extensions to overpartitions of combin...
Sylvie Corteel, Olivier Mallet
JCT
2008
78views more  JCT 2008»
13 years 4 months ago
A partition bijection related to the Rogers-Selberg identities and Gordon's theorem
We provide a bijective map from the partitions enumerated by the series side of the Rogers-Selberg mod 7 identities onto partitions associated with a special case of Basil Gordon&...
Andrew V. Sills