### DIMACS - RUTGERS EXPERIMENTAL MATHEMATICS SEMINAR

Sponsored by the Rutgers University Department of Mathematics and the

Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

**Co-organizers:**
**Brian Nakamura**, Rutgers University, bnaka {at} math [dot] rutgers [dot] edu
** Doron Zeilberger**, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu

Title: A motivated proof of Gordon's identities

Speaker: **Jim Lepowsky**, Rutgers University

Date: Thursday, May 2, 2013 5:00pm

Location: Hill Center, Room 705, Rutgers University, Busch Campus, Piscataway, NJ

Abstract:

In joint work with Minxian Zhu, we generalize the "motivated proof" of the Rogers-Ramanujan identities given by G. E. Andrews and R. J. Baxter to provide an analogous "motivated proof" of B. Gordon's generalization of the Rogers-Ramanujan identities. Our main purpose is to provide insight into certain vertex-algebraic structure being developed.

See: http://www.math.rutgers.edu/~bnaka/expmath/