Generalisation of Scott permanent identity
Abstract
Scott considered the determinant of 1/(y-z)2, with y,z running over two sets X,Y of size n, and determined its specialisation when Y and Z are the roots of yn-a and zn-b. We give the same specialisation for the determinant 1/Πx(xy-z), where x is an arbitrary set of indeterminates. The case of the Gaudin-Izergin-Korepin is for x=q,1/q.
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