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Vertically Symmetric Alternating Sign Matrices and a Multivariate Laurent Polynomial Identity

Vertically Symmetric Alternating Sign Matrices and a Multivariate Laurent Polynomial Identity

In 2007, the first author gave an alternative proof of the refined alternating sign matrix theorem by introducing a linear equation system that determines the refined ASM numbers uniquely. Computer experiments suggest that the numbers appearing in a conjecture concerning the number of vertically symmetric alternating sign matrices with respect …