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Sums of multivariate polynomials in finite subgroups

Sums of multivariate polynomials in finite subgroups

Let [Formula: see text] be a commutative ring, [Formula: see text] a multivariate polynomial, and [Formula: see text] a finite subgroup of the group of units of [Formula: see text] satisfying a certain constraint, which always holds if [Formula: see text] is a field. Then, we evaluate [Formula: see text], …