Document Type

Article

Publication Date

1-2008

Publication Title

Journal of Combinatorial Theory, Series A

DOI

j.jcta.2007.04.001

ISSN

0097-3165

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.

Comments

This is a preprint of the final published article available at Journal of Combinatorial Theory Series A.

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Mathematics Commons

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