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math.NT2021
On small fractional parts of perturbed polynomials
Paolo Minelli
Questions concerning small fractional parts of polynomials and pseudo-polynomials have a long history in analytic number theory. In this paper, we improve on earlier work by Madrit…
math.NT2021
On small fractional parts of polynomial-like functions
Paolo Minelli
In a recent paper, Madritsch and Tichy established Diophantine inequalities for the fractional parts of polynomial-like functions. In particular, for where is a…