Local mean value estimates for Weyl sums

Julia Brandes,Changhao Chen,Igor E. Shparlinski

arxiv（2023）

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摘要

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.

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local mean value estimates

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