Kurşungöz, Kağan (2019) Andrews-Gordon type series for Kanade-Russell conjectures. Annals of Combinatorics, 23 (3-4). pp. 835-888. ISSN 0218-0006 (Print) 0219-3094 (Online)
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Official URL: https://dx.doi.org/10.1007/s00026-019-00470-7
Abstract
We construct Andrews–Gordon type positive series as generating functions of partitions satisfying certain difference conditions in six conjectures by Kanade and Russell. Thus, we obtain q-series conjectures as companions to Kanade and Russell’s combinatorial conjectures. We construct generating functions for missing partition enumerants as well, without claiming new partition identities.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Andrews–Gordon identities; Kanade–Russell conjectures; Partition generating function |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Kağan Kurşungöz |
| Date Deposited: | 28 Jul 2023 16:02 |
| Last Modified: | 28 Jul 2023 16:02 |
| URI: | https://research.sabanciuniv.edu/id/eprint/46381 |
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Andrews-Gordon type series for Kanade-Russell conjectures. (deposited 09 Aug 2018 13:53)
- Andrews-Gordon type series for Kanade-Russell conjectures. (deposited 28 Jul 2023 16:02) [Currently Displayed]
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