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International Mathematics Research Notices (2000) 2000:719-739, doi:10.1155/S1073792800000404
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Copyright © 2000 Hindawi Publishing Corporation. All rights reserved.

Roots of quadratic congruences

Árpád Tóth

In this note we prove that as the modulus runs through the set of prime numbers, the roots of a quadratic congruence are uniformly distributed in a natural sense. It is well known that this implies uniform distribution of the angles of certain exponential sums introduced by Salie. The proof is based on previous work by Duke, Friedlander, and Iwaniec.


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