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JCT
2006
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13 years 4 months ago
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...
Mahir Can, Nicholas A. Loehr
EJC
2010
13 years 5 months ago
Inversion of some series of free quasi-symmetric functions
We give a combinatorial formula for the inverses of the alternating sums of free quasi-symmetric functions of the form F(I) where I runs over compositions with parts in a prescribe...
Florent Hivert, Jean-Christophe Novelli, Jean-Yves...