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arXiv · 2303.11913

Local mean value estimates for Weyl sums

Julia Brandes·Changhao Chen·Igor E. Shparlinski
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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.

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Julia Brandes, Changhao Chen, Igor E. Shparlinski. 2023-03-21. Local mean value estimates for Weyl sums. https://arxiv.org/abs/2303.11913

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