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arxiv: math/0411072 · v2 · submitted 2004-11-03 · 🧮 math.CO

A combinatorial proof of the Rogers-Ramanujan and Schur identities

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keywords combinatorialproofrogers-ramanujansymmetriesbijectionsdirectdysonestablished
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We give a combinatorial proof of the first Rogers-Ramanujan identity by using two symmetries of a new generalization of Dyson's rank. These symmetries are established by direct bijections.

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