English

Exponential sum estimates over prime fields

Number Theory 2019-07-31 v3

Abstract

In this paper, we prove some extensions of recent results given by Shkredov and Shparlinski on multiple character sums for some general families of polynomials over prime fields. The energies of polynomials in two and three variables are our main ingredients.

Keywords

Cite

@article{arxiv.1809.06837,
  title  = {Exponential sum estimates over prime fields},
  author = {Doowon Koh and Mozhgan Mirzaei and Thang Pham and Chun-Yen Shen},
  journal= {arXiv preprint arXiv:1809.06837},
  year   = {2019}
}

Comments

20 pages

R2 v1 2026-06-23T04:10:28.354Z