A Kronecker-Type Theorem for Complex Polynomials in Several Variables
A Kronecker-Type Theorem for Complex Polynomials in Several Variables
Abstract We give a classification result for "extreme-monic" polynomials in several variables having measure 1. The result implies a recent several-variable generalization, by D. W. Boyd, of Kronecker's classical theorem (that all zeros of a monic integral polynomial, with non-zero constant term and measure 1, are roots of unity).