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math.CO2022
Toward Butler's conjecture
Donghyun Kim, Seung Jin Lee, Jaeseong Oh
For a partition , let be two distinct partitions such that . Butler conjectured that the divided difference $\operatorname{I}_{λ,μ}[X;q,t]=(T_λ\w…
math.CO2022
Haglund's conjecture for multi- Macdonald polynomials
Seung Jin Lee, Jaeseong Oh, Brendon Rhoades
We provide new approaches to prove identities for the modified Macdonald polynomials via their LLT expansions. As an application, we prove a conjecture of Haglund concerning the mu…