A proof of the q, t-square conjecture

We prove a combinatorial formula conjectured by Loehr and Warrington for the coefficient of the sign character in (pn). Here denotes the Bergeron-Garsia nabla operator, and pn is a power-sum symmetric function. The combinatorial formula enumerates lattice paths in an n

• Type: Journal
• Year: 2006
• Where: JCT
• Authors: Mahir Can, Nicholas A. Loehr
• Keywords: Combinatorial Formula, Et Par Pn, JCT 2006, Loehr Et Warrington