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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2509.01216 |
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| _version_ | 1866918146983591936 |
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| author | He, Thomas Y. Liu, S. Y. |
| author_facet | He, Thomas Y. Liu, S. Y. |
| contents | In 2012, Andrews and Merca proved a truncated theorem on Euler's pentagonal number theorem, which opened up a new study on truncated theta series. In particular, some truncated versions of a identity of Gauss have been proved. In this article, we provide new combinatorial interpretations of the truncated versions of the identity of Gauss in terms of the minimal excludant non-overlined part of an overpartition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01216 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Combinatorial interpretation of a truncated identity of Gauss He, Thomas Y. Liu, S. Y. Combinatorics In 2012, Andrews and Merca proved a truncated theorem on Euler's pentagonal number theorem, which opened up a new study on truncated theta series. In particular, some truncated versions of a identity of Gauss have been proved. In this article, we provide new combinatorial interpretations of the truncated versions of the identity of Gauss in terms of the minimal excludant non-overlined part of an overpartition. |
| title | Combinatorial interpretation of a truncated identity of Gauss |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2509.01216 |