Document Type

Article

Publication Date

8-15-2008

Publication Title

Journal of Mathematical Analysis and Applications

DOI

10.1016/j.jmaa.2008.03.033

ISSN

0022-247X

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.

Comments

This is a preprint of the final published article available at Journal of Mathematical Analysis and Applications.

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