Reprint: A remark on a paper of mine on polynomials (1964)

  • Kurt Mahler


Let be the set of all polynomial vectors of length with components of degree at most that are not identically zero. Further, set and . The quantity of concern is In this paper, Mahler shows that where . This is a significant improvement over the trivial bound of .

Reprint of the author's paper [Ill. J. Math. 8, 1--4 (1964; Zbl 0128.07101)].