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MIT Combinatorics Seminar

A new combinatorial proof of the Rogers-Ramanujan identities

Cilanne Boulet  (MIT)

Wednesday, October 13, 2004    4:15 pm    Room 2-338

ABSTRACT

We give a combinatorial proof of the Rogers-Ramanujan identities by using two symmetries of a new generalization of Dyson's rank. These symmetries are established by direct bijections. We will also show how to extend this proof to Andrews' generalization of the Rogers-Ramanujan identities. This is joint work with Igor Pak.