A partition bijection related to the Rogers--Selberg identities and Gordon's theorem
arXiv:1812.05580 · doi:10.1016/j.jcta.2007.04.001
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.
22 pages