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:

Drew Sills, Rutgers University, asills {at} math [dot] rutgers [dot] edu g

Doron Zeilberger, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu

Title: On Dyson's q-Series Identities

Speaker: Drew Sills, Rutgers and Georgia Southern University

Date: Thursday, February 22, 2007 5:00pm

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

Abstract:

Before receiving his B.A. from Cambridge University, Freeman Dyson served as referee for a pair of seminal papers by W. N. Bailey on the derivation of identities of Rogers-Ramanujan type. Dyson wound up contributing a number of Rogers-Ramanujan type identities of his own to Bailey's papers, including a set of four identities related to modulus 27 in the same way that the two Rogers-Ramanujan identities are related to the modulus 5. After providing some mathematical and historical background, I will present a set of identities related to the modulus 108, which I discovered experimentally by playing around with variants on Dyson's mod 27 identities.