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.
| Original language | English |
|---|---|
| Pages (from-to) | 765-777 |
| Number of pages | 13 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 344 |
| Issue number | 2 |
| DOIs | |
| State | Published - Aug 15 2008 |
Scopus Subject Areas
- Analysis
- Applied Mathematics
Keywords
- Affine Lie algebras
- Bailey pairs
- Basic hypergeometric series
- False theta functions
- Principal character
- Rogers-Ramanujan identities
- q-Series identities