20 citations · 20 across the 4 of their papers we have counts for
4 papers
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…
Linked partition ideals and the Alladi--Schur theorem
George E. Andrews, Shane Chern, Zhitai Li
Let denote the set of integer partitions into parts that differ by at least , with the added constraint that no two consecutive multiples of occur as parts. We…
On the -measure of partitions and distinct partitions
George E. Andrews, Shane Chern, Zhitai Li
The -measure of an integer partition was recently introduced by Andrews, Bhattacharjee and Dastidar. In this paper, we establish trivariate generating function identities counti…
Linked partition ideals and Kanade--Russell conjectures
Shane Chern, Zhitai Li
This paper will primarily present a method of proving generating function identities for partitions from linked partition ideals. The method we introduce is built on a conjecture b…