Weyl sums with multiplicative coefficients and joint equidistribution
Number Theory
2025-06-18 v1
Abstract
In this paper we generalize a result of Montgomery and Vaughan regarding exponential sums with multiplicative coefcients to the setting of Weyl sums. As applications, we establish a joint equidistribution result for roots of polynomial congruences and polynomial values and obtain some new results for mixed character sums.
Cite
@article{arxiv.2303.03768,
title = {Weyl sums with multiplicative coefficients and joint equidistribution},
author = {Matteo Bordignon and Cynthia Bortolotto and Bryce Kerr},
journal= {arXiv preprint arXiv:2303.03768},
year = {2025}
}
Comments
41 pages