A partition bijection related to the Rogers--Selberg identities and Gordon's theorem
classification
🧮 math.CO
keywords
gordonidentitiescasepartitionsspecialtheoremanalogapplying
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.