Small cap decoupling for the moment curve in \(\mathbb{R}^3\)

DOI10.2140/apde.2024.17.3551MaRDI QIDQ6650601

Larry Guth, Dominique Maldague

Publication date: 9 December 2024

Published in: Analysis \& PDE (Search for Journal in Brave)

zbMATH Keywords

moment curvedecoupling inequalitiesexponential sum estimates

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Curves in Euclidean and related spaces (53A04)

Cites Work

• Title not available (Why is that?)
• The cubic case of the main conjecture in Vinogradov's mean value theorem
• Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
• Decoupling inequalities and some mean-value theorems
• Small cap decouplings. With an appendix by D. R. Heath-Brown.
• The proof of the \(l^2\) decoupling conjecture
• Decoupling, exponential sums and the Riemann zeta function
• A sharp \(L^{10}\) decoupling for the twisted cubic
• Improved decoupling for the parabola

This page was built for publication: Small cap decoupling for the moment curve in \(\mathbb{R}^3\)

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6650601)