On roots of quadratic congruences
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 e...
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| creator | Ngo, Hieu T |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.2107.13301 |
| format | Article |
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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
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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
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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.</abstract><doi>10.48550/arxiv.2107.13301</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Number Theory |
| title | On roots of quadratic congruences |
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