Sums of three cubes

DOI10.1112/S0025579300015710zbMath1026.11075OpenAlexW2127697709WikidataQ63230036 ScholiaQ63230036MaRDI QIDQ4786390

Trevor D. Wooley

Publication date: 15 December 2002

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300015710

zbMATH Keywords

iterative methodcubessmooth numbersmean value theoremssums of three cubes

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Applications of the Hardy-Littlewood method (11P55)

Related Items (11)

ON WARING'S PROBLEM IN SUMS OF THREE CUBES ⋮ Local Search For Satisfiability Modulo Integer Arithmetic Theories ⋮ On gaps between sums of four fourth powers ⋮ Rational solutions of pairs of diagonal equations, one cubic and one quadratic ⋮ DAVENPORT'S METHOD AND SLIM EXCEPTIONAL SETS: THE ASYMPTOTIC FORMULAE IN WARING'S PROBLEM ⋮ On Waring’s problem: Three cubes and a minicube ⋮ RATIONAL POINTS ON CUBIC HYPERSURFACES THAT SPLIT INTO FOUR FORMS ⋮ THE QUADRATIC FORM IN NINE PRIME VARIABLES ⋮ The density of rational lines on cubic hypersurfaces ⋮ Sums of three cubes, II ⋮ The Hasse principle for systems of diagonal cubic forms

Cites Work

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• A new iterative method in Waring's problem
• Breaking classical convexity in Waring's problem: sums of cubes and quasi-diagonal behaviour
• On Waring's Problem for Cubes and Smooth Weyl Sums
• Sums of Three Cubes
• A problem in additive number theory
• The circle method and diagonal cubic forms
• Sums of Three Cubes
• Sums of Three Positive Cubes
• On Waring's problem for cubes
• On Waring's problem
• On Waring's problem for cubes

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