English

Value sets of polynomial maps over finite fields

Number Theory 2012-10-31 v1

Abstract

We provide upper bounds for the cardinality of the value set of a polynomial map in several variables over a finite field. These bounds generalize earlier bounds for univariate polynomials.

Keywords

Cite

@article{arxiv.1210.8119,
  title  = {Value sets of polynomial maps over finite fields},
  author = {Gary L. Mullen and Daqing Wan and Qiang Wang},
  journal= {arXiv preprint arXiv:1210.8119},
  year   = {2012}
}

Comments

To appear in the Oxford Quarterly Journal of Mathematics, 7 pages

R2 v1 2026-06-21T22:30:18.098Z