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Burgess bounds for short mixed character sums

Number Theory 2015-06-12 v1

Abstract

This paper proves nontrivial bounds for short mixed character sums by introducing estimates for Vinogradov's mean value theorem into a version of the Burgess method.

Keywords

Cite

@article{arxiv.1404.1677,
  title  = {Burgess bounds for short mixed character sums},
  author = {D. R. Heath-Brown and L. B. Pierce},
  journal= {arXiv preprint arXiv:1404.1677},
  year   = {2015}
}

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20 pages