English

A note on medium and short character sums

Number Theory 2023-03-06 v1

Abstract

Following the work of Hildebrand we improve the Po'lya- Vinogradov inequality in a specific range, we also give a general result that shows its dependency on Burgess bound and at last we improve the range of validity for a special case of Burgess' character sum estimate.

Cite

@article{arxiv.2303.01848,
  title  = {A note on medium and short character sums},
  author = {Matteo Bordignon},
  journal= {arXiv preprint arXiv:2303.01848},
  year   = {2023}
}

Comments

11 pages, comments are welcome

R2 v1 2026-06-28T08:59:15.174Z