Equal sums of three powers

DOI10.1007/s00222-004-0360-9zbMath1135.11052OpenAlexW1976277192MaRDI QIDQ1882583

D. R. Heath-Brown, Timothy D. Browning

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1007/s00222-004-0360-9

zbMATH Keywords

sums of three powers

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Counting solutions of Diophantine equations (11D45) Higher degree equations; Fermat's equation (11D41)

Related Items (2)

Counting rational points on hypersurfaces of low dimension ⋮ Burgess’s Bounds for Character Sums

Cites Work

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• Diophantine approximation with square-free numbers
• A geometric approach to equal sums of fifth powers
• Waring's problem for the ring of polynomials
• The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène).
• Further improvements in Waring's problem
• Breaking classical convexity in Waring's problem: sums of cubes and quasi-diagonal behaviour
• Cubic forms in sixteen variables
• On some topics connected with Waring's problem.
• Some Picard Theorems for Holomorphic Maps to Algebraic Varieties
• The circle method and diagonal cubic forms
• Some Diophantine equations with almost all solutions trivial
• On the representation of a number as a sum of two fourth powers

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