A partition bijection related to the Rogers–Selberg identities and Gordonʹs theorem

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