Decoupling inequalities and some mean-value theorems
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Publication:1687977
DOI10.1007/s11854-017-0035-2zbMath1380.42008arXiv1406.7862OpenAlexW2963757545MaRDI QIDQ1687977
Publication date: 4 January 2018
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.7862
Estimates on exponential sums (11L07) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)
Related Items (11)
On the Vinogradov mean value ⋮ On 𝐿¹² square root cancellation for exponential sums associated with nondegenerate curves in ℝ⁴ ⋮ Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three ⋮ Decouplings for curves and hypersurfaces with nonzero Gaussian curvature ⋮ Mean value estimates for Weyl sums in two dimensions ⋮ Real analysis, harmonic analysis and applications. Abstracts from the workshop held July 3--9, 2022 ⋮ A sharp \(L^{10}\) decoupling for the twisted cubic ⋮ Sharp superlevel set estimates for small cap decouplings of the parabola ⋮ Small cap decouplings. With an appendix by D. R. Heath-Brown. ⋮ An \(l^2\) decoupling interpretation of efficient congruencing: the parabola ⋮ Decoupling, exponential sums and the Riemann zeta function
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- Translation invariance, exponential sums, and Waring's problem
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