New Bounds of Weyl Sums

DOI10.1093/imrn/rnz293zbMath1469.11276arXiv1903.07330OpenAlexW2985766264WikidataQ126990290 ScholiaQ126990290MaRDI QIDQ3382613

Changhao Chen, Igor E. Shparlinski

Publication date: 21 September 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.07330

zbMATH Keywords

Hausdorff dimensiondiscrepancyWeyl sums

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Weyl sums (11L15)

Related Items (7)

On a hybrid version of the Vinogradov mean value theorem ⋮ Hybrid bounds on two-parametric families of Weyl sums along smooth curves ⋮ Bounds on the norms of maximal operators on Weyl sums ⋮ Metric theory of Weyl sums ⋮ On generating functions in additive number theory. II: Lower-order terms and applications to PDEs ⋮ Large Weyl sums and Hausdorff dimension ⋮ Maximal estimates for Weyl sums on \(\mathbb{T}^d\) (with an appendix by Alex Barron)

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