Small fractional parts of polynomials

Published 12 Feb 2016 in math.NT | (1602.04245v2)

Abstract: Using the recent result of Bourgain, Demeter and Guth on Vinogradov's mean value, a number of new results about small fractional parts of polynomials and fractional parts of additive forms are obtained. These improve work of Baker, Cook, Danicic, Vaughan and Wooley.

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Roger Baker

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