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arXiv · 1812.05580

A partition bijection related to the Rogers--Selberg identities and Gordon's theorem

Andrew V. Sills
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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.

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Andrew V. Sills. 2018-12-13. A partition bijection related to the Rogers--Selberg identities and Gordon's theorem. https://doi.org/10.1016/j.jcta.2007.04.001

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