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arxiv: 1812.05580 · v1 · pith:Q7RJDOGAnew · submitted 2018-12-13 · 🧮 math.CO

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

classification 🧮 math.CO
keywords gordonidentitiescasepartitionsspecialtheoremanalogapplying
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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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