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math.NT2023
Weyl sums with multiplicative coefficients and joint equidistribution
Matteo Bordignon, Cynthia Bortolotto, Bryce Kerr
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…
math.NT2023
A note on medium and short character sums
Matteo Bordignon
Following the work of Hildebrand we improve the Po'lya- Vinogradov inequality in a specific range, we also give a general result that shows its dependency on Burgess bound and at l…