3 papers
math.CO2021
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…
math.CO2021
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…
math.NT2018
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…