A combinatorial proof of the Rogers-Ramanujan and Schur identities

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.

• Type: Journal
• Year: 2006
• Where: JCT
• Authors: Cilanne Boulet, Igor Pak
• Keywords: Combinatorial Proof, JCT 2006, Rogers-Ramanujan Identity, Symmetries