Abstract
Using a result of Warnaar, we prove a number of single- and multi-sum identities in the spirit of Ramanujan's partial theta identities, but with partial indefinite binary theta functions in the role of partial theta functions. We also calculate the corresponding residual identities and use a result of Ji and Zhao to recast our identities in terms of indefinite ternary theta functions.
| Original language | English |
|---|---|
| Pages (from-to) | 255-289 |
| Number of pages | 35 |
| Journal | Journal of the Australian Mathematical Society |
| Volume | 102 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Apr 2017 |
Keywords
- Bailey pairs
- indefinite theta functions
- partial indefinite theta functions
- partial theta functions
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