Document Type
Article
Publication Date
2008
Abstract
We present several new families of Rogers–Ramanujan type identities related to the moduli 18 and 24. A few of the identities were found by either Ramanujan, Slater, or Dyson, but most are believed to be new. For one of these families, we discuss possible connections with Lie algebras. We also present two families of related false theta function identities.
Publication Title
Journal of Mathematical Analysis and Applications
ISSN
0022-247X
Publisher
Elsevier
Volume
344
Issue
2
First Page
765
Last Page
777
DOI
10.1016/j.jmaa.2008.03.033
Recommended Citation
McLaughlin, J., & Sills, A. (2008). Ramanujan-Slater Type Identities Related to the Moduli 18 and 24. Journal of Mathematical Analysis and Applications, 344(2), 765-777. http://dx.doi.org/10.1016/j.jmaa.2008.03.033
Comments
This is a preprint of the final published article available at Journal of Mathematical Analysis and Applications