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Julia Brandes: Local mean value estimates for Weyl sums

Time: Thu 2023-06-15 11.15

Location: KTH, 3721

Participating: Julia Brandes (Chalmers)

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We obtain new estimates - both upper and lower bounds - on the mean values of the Weyl sums over a small box inside of the unit torus. In particular, we refine recent conjectures of C. Demeter and B. Langowski (2022), and improve some of their results.

This is joint work with Changhao Chen and Igor Shparlinski.