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Weyl sums with multiplicative coefficients and joint equidistribution

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Kerr,  Bryce       
Max Planck Institute for Mathematics, Max Planck Society;

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2303.03768.pdf
(Preprint), 366KB

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Citation

Bordignon, M., Bortolotto, C., & Kerr, B. (submitted). Weyl sums with multiplicative coefficients and joint equidistribution.


Cite as: https://hdl.handle.net/21.11116/0000-000F-60AE-1
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.