Eunmi Kim

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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…

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…

On the distribution of t-hooks of doubled distinct partitions

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