On page 211, line 9, and on page 213, line -6, the assumption should be added that F is not the product of generalized cyclotomic polynomials.
@article{bwmeta1.element.bwnjournal-article-aav60i4p417bwm, author = {A. Bazylewicz}, title = {Corrigendum to the paper "An extension of a result of C. J. Smyth to polynomials in several variables" Acta Arith. 50 (1988), 211-214}, journal = {Acta Arithmetica}, volume = {62}, year = {1992}, pages = {417}, zbl = {0642.12006}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav60i4p417bwm} }
A. Bazylewicz. Corrigendum to the paper "An extension of a result of C. J. Smyth to polynomials in several variables" Acta Arith. 50 (1988), 211-214. Acta Arithmetica, Tome 62 (1992) p. 417. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav60i4p417bwm/