### Weyl sums with multiplicative coefficients and joint equidistribution

Heilbronn Number Theory Seminar

22nd May 2024, 4:00 pm – 5:00 pm

Fry Building, 2.04

In this talk I will present a joint work with Cynthia Bortolotto and Bryce Kerr, where we generalize a result of Montgomery and Vaughan regarding exponential sums with multiplicative coefficients 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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