Cubic forms in 14 variables

DOI10.1007/s00222-007-0062-1zbMath1135.11031OpenAlexW1991762133WikidataQ56287993 ScholiaQ56287993MaRDI QIDQ2466355

D. R. Heath-Brown

Publication date: 14 January 2008

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

Full work available at URL: https://doi.org/10.1007/s00222-007-0062-1

zbMATH Keywords

circle methodHasse principlecubic formsvan der Corput's methodWeyl's inequality

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Applications of the Hardy-Littlewood method (11P55) Varieties over global fields (11G35) Cubic and quartic Diophantine equations (11D25) Global ground fields in algebraic geometry (14G25) Weyl sums (11L15) Galois cohomology of linear algebraic groups (11E72)

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Cites Work

• Unnamed Item
• Cubic polynomials over algebraic number fields
• The Diophantine equation \(ax^3+by^3+cz^3=0\)
• Cubic forms in sixteen variables
• On nonary cubic forms.
• Diagonal cubic equations. II
• An Improvement on a Theorem of Titchmarsh on the Mean Square of |ζ(12+it)|
• The solubility of diagonal cubic surfaces
• Counting rational points on hypersurfaces
• On the Hasse principle for cubic surfaces

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