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