Generalization of Scott's Permanent Identity
Séminaire lotharingien de combinatoire, 61A (2009-2011)
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Let x={x1,...,xr}, y={y1,...,yn}, z={z1,...,zn} be three sets of indeterminates. We give the value of the determinant
$\displaystyle \Bigg\vert \prod_{x\in \x} (xy-z)^{-1} \Bigg\vert _{y\in\y, z\in\z} $
when specializing y and z to the set of roots of yn-1 and zn-ξn, respectively.