On the ordinary and signed Göllnitz--Gordon partitions
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arXiv
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866910593487732736 |
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| author | Sills, Andrew V. |
| author_facet | Sills, Andrew V. |
| contents | Dedicated to George E. Andrews on the occasion of his 70th birthday. Submitted to a special issue for this occasion. We use Andrews' notion of a `signed partition' (i.e. partition where some parts are allowed to be negative) to interpret the Göllnitz--Gordon sum, and then provide a bijective map between these signed partitions and the usual Göllnitz--Gordon partitions (partitions with difference at least two between parts, and no consecutive even parts). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1812_07550 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | On the ordinary and signed Göllnitz--Gordon partitions Sills, Andrew V. Combinatorics Dedicated to George E. Andrews on the occasion of his 70th birthday. Submitted to a special issue for this occasion. We use Andrews' notion of a `signed partition' (i.e. partition where some parts are allowed to be negative) to interpret the Göllnitz--Gordon sum, and then provide a bijective map between these signed partitions and the usual Göllnitz--Gordon partitions (partitions with difference at least two between parts, and no consecutive even parts). |
| title | On the ordinary and signed Göllnitz--Gordon partitions |
| topic | Combinatorics |
| url | https://arxiv.org/abs/1812.07550 |