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<p>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.</p>

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Overpartitions and Kaur, Rana, and Eyyunni’s Mex Sequences

  • 期刊论文

  • 发表日期：

    2025年11月29日

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  • Brian Hopkins,
  • James A. Sellers

摘要

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.