Estimation of Norms of Multivariate Polynomials with Integral Coefficients Original Research Article

Using Feketeʹs method we obtain estimates for theLp-norms of minimal integral generalized multivariate polynomials. We particularize these estimates for the cases of ordinary polynomials and quasi-polynomials. We also show the existence of a limit in the minimal quadratic deviations from zero for univariate integral polynomials.