Deficit and $(q,t)$-symmetry in triangular partitions
Combinatorics
2026-04-02 v1
Abstract
We study the -enumeration of triangular Dyck paths considered by Bergeron and Mazin. To do so, we introduce the notion of triangular and sim-sym tableaux and the deficit statistic which is a new interpretation of the dinv. We use it to obtain new results and proofs on triangular -partitions and an interesting conjecture for a certain lattice interval -enumeration.
Keywords
Cite
@article{arxiv.2604.00245,
title = {Deficit and $(q,t)$-symmetry in triangular partitions},
author = {Viviane Pons and Loïc Le Mogne},
journal= {arXiv preprint arXiv:2604.00245},
year = {2026}
}