On roots of quadratic congruences
Number Theory
2021-07-29 v1
Abstract
The equidistribution of roots of quadratic congruences with prime moduli depends crucially upon effective bounds for a special Weyl linear form. Duke, Friedlander and Iwaniec discovered a strong estimate for this Weyl linear form when the quadratic polynomial has negative discriminant. T\'oth established an analogous but weaker bound when the quadratic polynomial has positive discriminant. We obtain a stronger estimate for the Weyl linear form for quadratics of positive discriminants.
Keywords
Cite
@article{arxiv.2107.13301,
title = {On roots of quadratic congruences},
author = {Hieu T. Ngo},
journal= {arXiv preprint arXiv:2107.13301},
year = {2021}
}