Bressoud style identities for regular partitions and overpartitions

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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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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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