Overpartitions and Kaur, Rana, and Eyyunni's mex sequences
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918037336096768 |
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| author | Hopkins, Brian Sellers, James A. |
| author_facet | Hopkins, Brian Sellers, James A. |
| contents | Kaur, Rana, and Eyyunni recently defined the mex sequence of a partition and established, by analytic methods, connections to two disparate types of partition-related objects. We make a bijection between partitions with certain mex sequences and a uniform family of overpartitions which allows us to provide combinatorial proofs of their results, as they requested. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_22588 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Overpartitions and Kaur, Rana, and Eyyunni's mex sequences Hopkins, Brian Sellers, James A. Combinatorics Number Theory 05A17 (primary) 11P81 (secondary) Kaur, Rana, and Eyyunni recently defined the mex sequence of a partition and established, by analytic methods, connections to two disparate types of partition-related objects. We make a bijection between partitions with certain mex sequences and a uniform family of overpartitions which allows us to provide combinatorial proofs of their results, as they requested. |
| title | Overpartitions and Kaur, Rana, and Eyyunni's mex sequences |
| topic | Combinatorics Number Theory 05A17 (primary) 11P81 (secondary) |
| url | https://arxiv.org/abs/2505.22588 |