Overpartitions and Kaur, Rana, and Eyyunni's mex sequences
Combinatorics
2025-05-29 v1 Number Theory
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.
Cite
@article{arxiv.2505.22588,
title = {Overpartitions and Kaur, Rana, and Eyyunni's mex sequences},
author = {Brian Hopkins and James A. Sellers},
journal= {arXiv preprint arXiv:2505.22588},
year = {2025}
}
Comments
8 pages, 6 tables