4 papers
Inequalities for the number of -hooks in two partition classes arising from sum-product identities
Aritram Dhar, Byungchan Kim, Eunmi Kim +1
Motivated by recent study on the number of -hooks in partitions arising from Euler's partition identity, we investigate the number of -hooks in the sets from the first Rogers…
On the distribution of -hooks of doubled distinct partitions
Hyunsoo Cho, Byungchan Kim, Eunmi Kim +1
Recently, Griffin, Ono, and Tsai examined the distribution of the number of -hooks in partitions of , which was later followed by the work of Craig, Ono, and Singh on the dis…
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 -core and -quotient partitions. This decomposition can be described in s…
Inequalities and asymptotics for hook lengths in -regular partitions and -distinct partitions
Eunmi Kim
In this article, we study hook lengths in -regular partitions and -distinct partitions. More precisely, we establish hook length inequalities between -regular par…