On small fractional parts of perturbed polynomials
On small fractional parts of perturbed polynomials
Questions concerning small fractional parts of polynomials and pseudo-polynomials have a long history in analytic number theory. In this paper, we improve on the earlier work by Madritsch and Tichy. In particular, let [Formula: see text] where P is a polynomial of degree k and [Formula: see text] is a …