Article
Ramanujan–Slater Type Identities Related to the Moduli 18 and 24
Journal of Mathematical Analysis and Applications
Document Type
Article
Publication Date
8-15-2008
DOI
10.1016/j.jmaa.2008.03.033
Disciplines
- Education and
- Mathematics
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.
Citation Information
James McLaughlin and Andrew Sills. "Ramanujan–Slater Type Identities Related to the Moduli 18 and 24" Journal of Mathematical Analysis and Applications Vol. 344 Iss. 2 (2008) p. 765 - 777 ISSN: 0022-247X Available at: http://works.bepress.com/andrew_sills/45/
This is a preprint of the final published article available at Journal of Mathematical Analysis and Applications.