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arXiv · 2303.03768

Weyl sums with multiplicative coefficients and joint equidistribution

Matteo Bordignon·Cynthia Bortolotto·Bryce Kerr
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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.

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Matteo Bordignon, Cynthia Bortolotto, Bryce Kerr. 2023-03-07. Weyl sums with multiplicative coefficients and joint equidistribution. https://doi.org/10.2140/ant.2025.19.1549

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