Kurşungöz, Kağan (2016) Bressoud style identities for regular partitions and overpartitions. Journal of Number Theory, 168 . pp. 45-63. ISSN 0022-314X (Print) 1096-1658 (Online)
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Official URL: http://dx.doi.org/10.1016/j.jnt.2016.04.001
Abstract
We construct a family of partition identities which contain the following identities: Rogers-Ramanujan-Gordon identities, Bressoud's even moduli generalization of them, and their counterparts for overpartitions due to Lovejoy et al. and Chen et al. We obtain unusual companion identities to known theorems as well as to the new ones in the process. The proof is, against tradition, constructive and open to automation.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Partition Identity, Rogers-Ramanujan Generalization, Partition Generating Function |
| Subjects: | Q Science > QA Mathematics > QA150-272.5 Algebra |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Kağan Kurşungöz |
| Date Deposited: | 12 Nov 2016 16:15 |
| Last Modified: | 26 Apr 2022 09:39 |
| URI: | https://research.sabanciuniv.edu/id/eprint/30583 |
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Bressoud style identities for regular partitions and overpartitions. (deposited 09 Dec 2014 22:57)
- Bressoud style identities for regular partitions and overpartitions. (deposited 12 Nov 2016 16:15) [Currently Displayed]
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