English

Burgess's Bounds for Character Sums

Number Theory 2012-05-09 v2

Abstract

We prove that Burgess's bound gives an estimate not just for a single character sum, but for a mean value of many such sums.

Keywords

Cite

@article{arxiv.1203.5219,
  title  = {Burgess's Bounds for Character Sums},
  author = {Roger Heath-Brown},
  journal= {arXiv preprint arXiv:1203.5219},
  year   = {2012}
}

Comments

Minor changes and addition of reference to Gallagher & Montgomery

R2 v1 2026-06-21T20:38:55.036Z