Breaking classical convexity in Waring's problem: sums of cubes and quasi-diagonal behaviour

DOI10.1007/BF01231451zbMath0851.11055OpenAlexW1540761923WikidataQ63230024 ScholiaQ63230024MaRDI QIDQ1911554

Trevor D. Wooley

Publication date: 24 June 1996

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144327

zbMATH Keywords

Waring's problemsums of cubesaverages of Weyl sums

Mathematics Subject Classification ID

Waring's problem and variants (11P05)

Related Items (19)

Sums of three cubes ⋮ Equal sums of three powers ⋮ On smooth Weyl sums over biquadrates and Waring’s problem ⋮ ON WARING'S PROBLEM IN SUMS OF THREE CUBES ⋮ On gaps between sums of four fourth powers ⋮ Computers as a novel mathematical reality. II: Waring's problem ⋮ Vinogradov's mean value theorem via efficient congruencing ⋮ Additive representation in thin sequences, I: Waring's problem for cubes ⋮ On Waring’s problem: Three cubes and a sixth power ⋮ Cubic Diophantine inequalities ⋮ Rado's criterion over squares and higher powers ⋮ On Waring’s problem: Three cubes and a minicube ⋮ Representation by sums of unlike powers ⋮ The Manin conjecture for \(x_0y_0+\dots+x_sy_s=0\) ⋮ THE QUADRATIC FORM IN NINE PRIME VARIABLES ⋮ Weyl sums, mean value estimates, and Waring's problem with friable numbers ⋮ The representation of almost all numbers as sums of unlike powers ⋮ The density of rational lines on cubic hypersurfaces ⋮ Sums of three cubes, II

Cites Work

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• A New Iterative Method in Waring's Problem II
• Quasi-Diagonal Behaviour in Certain Mean Value Theorems of Additive Number Theory
• Sums of Three Cubes
• On multipliers preserving convergence of trigonometric series almost everywhere
• Sums of Three Positive Cubes
• On Waring's problem for cubes
• On Waring's problem for cubes.
• On Waring's problem
• On Waring's problem for cubes

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