Refined parity biases in integer partitions

Byungchan Kim; Eunmi Kim

doi:10.1016/j.disc.2022.113308

Refined parity biases in integer partitions

Byungchan Kim, Eunmi Kim

School of Natural Sciences

Ewha Womans University

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

1 Scopus citations

Abstract

Recently, the authors and Jeremy Lovejoy proved that there is a parity bias in integer partitions, namely p_o(n)>p_e(n) for all positive integers n≠2, where p_o(n) (resp. p_e(n)) is the number of partitions of n with more odd (resp. even) parts than even (resp. odd) parts. In this paper, we give two refinements of the parity bias in integer partitions.

Original language	English
Article number	113308
Journal	Discrete Mathematics
Volume	346
Issue number	4
DOIs	https://doi.org/10.1016/j.disc.2022.113308
State	Published - Apr 2023

Keywords

Integer partition
Parity bias

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10.1016/j.disc.2022.113308

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title = "Refined parity biases in integer partitions",

abstract = "Recently, the authors and Jeremy Lovejoy proved that there is a parity bias in integer partitions, namely po(n)>pe(n) for all positive integers n≠2, where po(n) (resp. pe(n)) is the number of partitions of n with more odd (resp. even) parts than even (resp. odd) parts. In this paper, we give two refinements of the parity bias in integer partitions.",

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AB - Recently, the authors and Jeremy Lovejoy proved that there is a parity bias in integer partitions, namely po(n)>pe(n) for all positive integers n≠2, where po(n) (resp. pe(n)) is the number of partitions of n with more odd (resp. even) parts than even (resp. odd) parts. In this paper, we give two refinements of the parity bias in integer partitions.

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Refined parity biases in integer partitions

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Keywords

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