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.
Recommended Citation
Sills, Andrew V..
2007.
"Identities of the Rogers-Ramanujan-Slater Type."
International Journal of Number Theory, 3 (2): 293-323.
doi: 10.1142/S1793042107000912
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/664
