Roger Baker
Published 2016-02-12Version 1
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.
On Artin's Conjecture: Pairs of Additive Forms
Polynomials with integer coefficients and their zeros
q-Euler numbers and polynomials associated with multiple q-zeta functions
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