English

Character sums to smooth moduli are small

Number Theory 2019-08-15 v3

Abstract

Recently, Granville and Soundararajan have made fundamental breakthroughs in the study of character sums. Building on their work and using estimates on short character sums developed by Graham-Ringrose and Iwaniec, we improve the Polya-Vinogradov inequality for characters with smooth conductor.

Cite

@article{arxiv.0712.1574,
  title  = {Character sums to smooth moduli are small},
  author = {Leo Goldmakher},
  journal= {arXiv preprint arXiv:0712.1574},
  year   = {2019}
}

Comments

18 pages. Section 5 significantly revised

R2 v1 2026-06-21T09:52:35.518Z