Kurşungöz, Kağan (2021) Andrews-Gordon type series for Schur's partition identity. Discrete Mathematics, 344 (11). ISSN 0012-365X (Print) 1872-681X (Online)
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Official URL: https://dx.doi.org/10.1016/j.disc.2021.112563
Abstract
We construct an evidently positive multiple series as a generating function for partitions satisfying the multiplicity condition in Schur's partition theorem. Refinements of the series when parts in the said partitions are classified according to their parities or values mod 3 are also considered. Direct combinatorial interpretations of the series are provided.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Andrews-Gordon identities; Integer partition; Partition generating function; Schur's partition identity |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Kağan Kurşungöz |
| Date Deposited: | 01 Sep 2022 12:51 |
| Last Modified: | 01 Sep 2022 12:51 |
| URI: | https://research.sabanciuniv.edu/id/eprint/43551 |
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