VINOGRADOV SYSTEMS WITH A SLICE OFF

DOI10.1112/S0025579317000134zbMath1390.11099arXiv1707.06047OpenAlexW2964126939MaRDI QIDQ4604473

Trevor D. Wooley, Julia Brandes

Publication date: 26 February 2018

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.06047

zbMATH Keywords

Vinogradov systemdiagonal behaviour

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Applications of the Hardy-Littlewood method (11P55) Counting solutions of Diophantine equations (11D45) Weyl sums (11L15)

Related Items (4)

ON THE INHOMOGENEOUS VINOGRADOV SYSTEM ⋮ Sharp bounds for the cubic Parsell-Vinogradov system in two dimensions ⋮ On integer solutions of Parsell-Vinogradov systems ⋮ Optimal mean value estimates beyond Vinogradov's mean value theorem

Cites Work

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• 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
• A quasi-paucity problem
• A PAUCITY ESTIMATE RELATED TO NEWTON SUMS OF ODD DEGREE
• Simultaneous Additive Equations: Repeated and Differing Degrees
• Rational solutions of pairs of diagonal equations, one cubic and one quadratic
• Rational points on linear slices of diagonal hypersurfaces
• Nested efficient congruencing and relatives of Vinogradov's mean value theorem

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