Corpus ID: 236469224

On roots of quadratic congruences

@inproceedings{Ngo2021OnRO,
  title={On roots of quadratic congruences},
  author={Hieu T. Ngo},
  year={2021}
}
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. Tóth 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. 

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