Articles by Florian Aigner

A new determinant for the Q-enumeration of alternating sign matrices

-- Florian Aigner (University of Vienna)

We prove a determinantal formula for the \(Q\)-enumeration of alternating sign matrices (ASMs), i.e. a weighted enumeration where each ASM is weighted by \(Q\) to the power of the number of its \(-1\)'s. Evaluating this determinant leads to closed product formulas and new proofs of the \(1 ...