Kurşungöz, Kağan (2021) Andrews-Gordon type series for Kanade-Russell conjectures. In: Alladi, Krishnaswami and Berndt, Bruce C. and Paule, Peter and Sellers, James A. and Yee, Ae Ja, (eds.) George E. Andrews 80 Years of Combinatory Analysis. Trends in Mathematics. Birkhäuser Cham, Switzerland, pp. 481-534. ISBN 978-3-030-57049-1 (Print) 978-3-030-57050-7 (Online)
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Official URL: https://dx.doi.org/10.1007/978-3-030-57050-7_28
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: | Book Section / Chapter |
|---|---|
| Uncontrolled Keywords: | Andrews–Gordon identities; Kanade–Russell conjectures; Partition generating function |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Kağan Kurşungöz |
| Date Deposited: | 02 Sep 2022 12:18 |
| Last Modified: | 02 Sep 2022 12:18 |
| URI: | https://research.sabanciuniv.edu/id/eprint/43409 |
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