The bivariate generating function for cylindric partitions of rank three
Using a rational analogue of an $\mathrm{A}_2^{(1)}$ Rogers--Ramanujan type identity discovered by Warnaar, we establish sum-like expressions for a bivariate generating function for cylindric partitions of rank three. These expressions provide the finishing touch towards conjectures of Warnaar and Kanade--Russell.
Authors
- Tanay V. Wakhare (ORCID: https://orcid.org/0000-0003-2397-4185)
- Shane Chern (ORCID: https://orcid.org/0000-0002-8321-1895)
- Trieu Nguyen
- Chanh Tran
Publication Details
- Journal
- arXiv (Cornell University)
- Published
- 2026-10-29
- DOI
- https://doi.org/10.48550/arxiv.2610.40079
- Primary Topic
- Advanced Mathematical Identities
- Type
- preprint