Berenstein, Carlos A.Yger, A.If p_1, ... , p_m are n-variate polynomials with integral coefficients and no common zeros in C^n, Brownawell has shown in 1986 that there exist q_1, ... , q_m polynomials with integral coefficients and {GREEK LETTER} {IS A MEMBER OF ^Z_+} such thaten-USTechnical Report