Two-color partitions and overpartitions: a combinatorial proof
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913158500712448 |
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| author | Bugleev, Anton |
| author_facet | Bugleev, Anton |
| contents | George Andrews and Mohamed El Bachraoui recently explored identities for two-color partitions. In particular, they studied the connection between two-colored partitions and overpartitions. Their proofs were analytical, but they conjectured combinatorial proofs of their results. In this paper we use two-modular diagrams to give a combinatorial proof of their main result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19741 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-color partitions and overpartitions: a combinatorial proof Bugleev, Anton Number Theory Combinatorics 11P81, 05A17 George Andrews and Mohamed El Bachraoui recently explored identities for two-color partitions. In particular, they studied the connection between two-colored partitions and overpartitions. Their proofs were analytical, but they conjectured combinatorial proofs of their results. In this paper we use two-modular diagrams to give a combinatorial proof of their main result. |
| title | Two-color partitions and overpartitions: a combinatorial proof |
| topic | Number Theory Combinatorics 11P81, 05A17 |
| url | https://arxiv.org/abs/2508.19741 |