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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…