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Weyl sums with multiplicative coefficients and joint equidistribution

Published 7 Mar 2023 in math.NT | (2303.03768v1)

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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