27 citations · 42 across the 17 of their papers we have counts for
18 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 Euler's Theorem
George E. Andrews, Rahul Kumar, Ae Ja Yee
Euler's theorem asserts that where is the number of partitions of into distinct parts and is the number of partitions of into odd parts. In this p…
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…
The Ariki--Koike algebras and Rogers--Ramanujan type partitions
Shane Chern, Zhitai Li, Dennis Stanton +2
In 2000, Ariki and Mathas showed that the simple modules of the Ariki--Koike algebras (when the parameters are root…
Schmidt Type Partitions
Runqiao Li, Ae Ja Yee
Recently, Andrews and Paule studied Schmidt type partitions using MacMahon's Partition Analysis and obtained various interesting results. In this paper, we focus on the combinatori…