Local mean value estimates for Weyl sums
arXiv:2303.11913
Abstract
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.
arXiv comment36 pages,3 figures