English

The generalized Delta conjecture at t=0

Combinatorics 2022-06-06 v1

Abstract

We prove the cases q=0 and t=0 of the generalized Delta conjecture of Haglund, Remmel and Wilson involving the symmetric function ΔhmΔenk1en\Delta_{h_m}\Delta_{e_{n-k-1}}'e_n. Our theorem generalizes recent results by Garsia, Haglund, Remmel and Yoo. This proves also the case q=0 of our recent generalized Delta square conjecture.

Cite

@article{arxiv.1901.02788,
  title  = {The generalized Delta conjecture at t=0},
  author = {Michele D'Adderio and Alessandro Iraci and Anna Vanden Wyngaerd},
  journal= {arXiv preprint arXiv:1901.02788},
  year   = {2022}
}

Comments

21 pages, 3 figures

R2 v1 2026-06-23T07:07:10.467Z