Relationship with multi-homogeneous Bézout theorem

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Maybe a silly question: Is there a relation with multi-homogeneous Bézout theorem? Both use a partition and both provide the result as a coefficient of a multivariate polynomial. Note: I have not found multi-homogeneous Bézout theorem in wp, and I had to create a stub for asking the question. This generalization deserves an article, as it is widely used for solving systems of polynomial equations, typically with homotopy methods, since, when it can be used, it provides a bound on the number of solutions that is much sharper than Bézout's bound. D.Lazard (talk) 15:21, 27 March 2018 (UTC)Reply