Multiple series Rogers-Ramanujan type identities

George E. Andrews

Vol. 114 (1984), No. 2, 267–283

DOI: 10.2140/pjm.1984.114.267

Abstract

It is shown how each of the classical identities of Rogers-Ramanujan type can be embedded in an infinite family of multiple series identities. The method of construction is applied to four of L. J. Rogers’ elegant series related to the quintuple product identity. Other applications are also presented.

Mathematical Subject Classification 2000

Primary: 11P80, 11P80

Secondary: 05A19, 05A30

Milestones

Received: 27 October 1982

Revised: 4 January 1983

Published: 1 October 1984