Title

Identities of the Rogers-Ramanujan-Slater Type

Document Type

Article

Publication Date

6-2007

Publication Title

International Journal of Number Theory

DOI

10.1142/S1793042107000912

ISSN

1793-7310

Abstract

It is shown that (two-variable generalizations of) more than half of Slater's list of 130 Rogers–Ramanujan identities (L. J. Slater, Further identities of the Rogers–Ramanujan type, Proc. London Math Soc. (2)54 (1952) 147–167) can be easily derived using just three multiparameter Bailey pairs and their associated q-difference equations. As a bonus, new Rogers–Ramanujan type identities are found along with natural combinatorial interpretations for many of these identities.

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