Eunmi Kim

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math.CO2025

The Littlewood decomposition via colored Frobenius partitions

Hyunsoo Cho, Eunmi Kim, Ae Ja Yee

The Littlewood decomposition for partitions is a well-known bijection between partitions and pairs of $t$ -core and $t$ -quotient partitions. This decomposition can be described in s…

math.CO2025

Inequalities and asymptotics for hook lengths in $ℓ$ -regular partitions and $ℓ$ -distinct partitions

Eunmi Kim

In this article, we study hook lengths in $ℓ$ -regular partitions and $ℓ$ -distinct partitions. More precisely, we establish hook length inequalities between $ℓ$ -regular par…

math.CO2025

On the distribution of $t$ -hooks of doubled distinct partitions

Hyunsoo Cho, Byungchan Kim, Eunmi Kim +1

Recently, Griffin, Ono, and Tsai examined the distribution of the number of $t$ -hooks in partitions of $n$ , which was later followed by the work of Craig, Ono, and Singh on the dis…

The Littlewood decomposition via colored Frobenius partitions

Inequalities and asymptotics for hook lengths in ℓ-regular partitions and ℓ-distinct partitions

On the distribution of t-hooks of doubled distinct partitions

Inequalities and asymptotics for hook lengths in $ℓ$ -regular partitions and $ℓ$ -distinct partitions

On the distribution of $t$ -hooks of doubled distinct partitions