On the distribution of modular square roots of primes
Number Theory
2020-09-09 v1
Abstract
We use recent bounds on bilinear sums with modular square roots to study the distribution of solutions to congruences with primes and integers . This can be considered as a combined scenario of Duke, Friedlander and Iwaniec with averaging only over the modulus and of Dunn, Kerr, Shparlinski and Zaharescu with averaging only over .
Cite
@article{arxiv.2009.03460,
title = {On the distribution of modular square roots of primes},
author = {Ilya D. Shkredov and Igor E. Shparlinski and Alexandru Zaharescu},
journal= {arXiv preprint arXiv:2009.03460},
year = {2020}
}