Sharp bounds for the cubic Parsell-Vinogradov system in two dimensions

DOI10.1016/j.aim.2017.09.008zbMath1386.11093arXiv1608.06346OpenAlexW2964115243MaRDI QIDQ2411344

Shaoming Guo, Ciprian Demeter, Jean Bourgain

Publication date: 20 October 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.06346

zbMATH Keywords

Brascamp-Lieb inequalitiestransversality conditionsParsell-Vinogradov systems

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Multipliers in one variable harmonic analysis (42A45)

Related Items (9)

Decoupling for two quadratic forms in three variables: a complete characterization ⋮ Fourier restriction estimates for surfaces of co-dimension two in \(\mathbb{R}^5\) ⋮ Decoupling inequalities for quadratic forms ⋮ On the nonlinear Brascamp-Lieb inequality ⋮ Decoupling for certain quadratic surfaces of low co‐dimensions ⋮ Decouplings for three-dimensional surfaces in \(\mathbb{R}^{6}\) ⋮ Decoupling for moment manifolds associated to Arkhipov-Chubarikov-Karatsuba systems ⋮ An \(l^2\) decoupling interpretation of efficient congruencing: the parabola ⋮ On integer solutions of Parsell-Vinogradov systems

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