A Partition Bijection Related to the Rogers-Selberg Identities and Gordon's Theorem

Authors

Andrew Sills, Georgia Southern UniversityFollow

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.

Recommended Citation

Sills, Andrew. 2008. "A Partition Bijection Related to the Rogers-Selberg Identities and Gordon's Theorem." Journal of Combinatorial Theory, Series A, 115 (1): 67-83. doi: j.jcta.2007.04.001
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/161