Symmetric Interpolation, Exchange Lemma and Sylvester Sums

Published 2 Mar 2015 in math.AC | (1503.00607v3)

Abstract: The theory of symmetric multivariate Lagrange interpolation is a beautiful but rather unknown tool that has many applications. Here we derive from it an Exchange Lemma that allows to explain in a simple and natural way the full description of the double sum expressions introduced by Sylvester in 1853 in terms of subresultants and their Bezout coefficients.

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