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paper

A combinatorial proof of the Rogers-Ramanujan and Schur identities

arXiv:math/0411072

Abstract

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.

12 pages, 5 figures; incorporated referee suggestions, simplified definition of (k,m)-rank, to appear in JCT(A)