Abstract
In the first paper of this series, we described how to find conjugate Bailey pairs from residual identities of Ramanujan-type partial theta identities. Here we carry this out for four multisum residual identities of Warnaar and two more due to the authors. Applying known Bailey pairs gives expressions in the algebra of modular forms and indefinite theta functions.
| Original language | English |
|---|---|
| Pages (from-to) | 743-764 |
| Number of pages | 22 |
| Journal | Ramanujan Journal |
| Volume | 46 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Aug 2018 |
Keywords
- Bailey pairs
- Conjugate Bailey pairs
- Indefinite theta functions
- Partial theta identities
- Residual identities
- Rogers–Ramanujan type identities
- Unimodal sequences