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

Brian Hopkins; James A. Sellers

doi:10.1007/s00026-025-00794-7

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

Brian Hopkins
, James A. Sellers

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Journal	Annals of Combinatorics
DOIs	https://doi.org/10.1007/s00026-025-00794-7
State	Accepted/In press - 2025

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.

Keywords

Integer partitions
Mex sequence
Minimal excludant
Overpartitions

Publisher link

10.1007/s00026-025-00794-7

Cite this

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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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KW - Mex sequence

KW - Minimal excludant

KW - Overpartitions

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ER -

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

Abstract

Bibliographical note

Keywords

Publisher link

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Cite this