Article ID Journal Published Year Pages File Type
4656500 Journal of Combinatorial Theory, Series A 2008 17 Pages PDF
Abstract

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's combinatorial generalization of the Rogers–Ramanujan identities. The implications of applying the same map to a special case of David Bressoud's even modulus analog of Gordon's theorem are also explored.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics