Small fractional parts of polynomials

Roger Baker

Small fractional parts of polynomials

Number Theory 2016-03-03 v2

Authors: Roger Baker

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.

Keywords

small fractional parts polynomials additive forms Vinogradov mean value analytic number theory

Cite

@article{arxiv.1602.04245,
  title  = {Small fractional parts of polynomials},
  author = {Roger Baker},
  journal= {arXiv preprint arXiv:1602.04245},
  year   = {2016}
}

Comments

Several typos corrected

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