On Solutions to Some Polynomial Congruences in Small Boxes
Number Theory
2019-02-20 v1
Abstract
We use bounds of mixed character sum to study the distribution of solutions to certain polynomial systems of congruences modulo a prime . In particular, we obtain nontrivial results about the number of solution in boxes with the side length below , which seems to be the limit of more general methods based on the bounds of exponential sums along varieties.
Cite
@article{arxiv.1301.1758,
title = {On Solutions to Some Polynomial Congruences in Small Boxes},
author = {Igor E. Shparlinski},
journal= {arXiv preprint arXiv:1301.1758},
year = {2019}
}