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arXiv · 2505.22588

Overpartitions and Kaur, Rana, and Eyyunni's mex sequences

Brian Hopkins·James A. Sellers
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Abstract

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.

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Brian Hopkins, James A. Sellers. 2025-05-28. Overpartitions and Kaur, Rana, and Eyyunni's mex sequences. https://arxiv.org/abs/2505.22588

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