RATIONAL POINTS ON CUBIC HYPERSURFACES THAT SPLIT INTO FOUR FORMS

DOI10.1112/S0025579315000224zbMath1378.11048OpenAlexW2344539080MaRDI QIDQ2810733

Li Lu Zhao, Bo Qing Xue

Publication date: 6 June 2016

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579315000224

zbMATH Keywords

rational pointscircle methodcubic forms

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Applications of the Hardy-Littlewood method (11P55) Diophantine equations in many variables (11D72) Global ground fields in algebraic geometry (14G25)

Related Items (1)

Operator algebras associated with multiplicative convolutions of arithmetic functions

Cites Work

• A new iterative method in Waring's problem
• Cubic forms in 14 variables
• On Waring's Problem for Cubes and Smooth Weyl Sums
• Cubic forms in thirty-two variables
• Rational points on cubic hypersurfaces that split off a form. With an appendix by J.-L. Colliot-Thélène
• Arithmetic on Some Singular Cubic Hypersurfaces
• Cubic Forms in Ten Variables
• Sums of three cubes
• Rational points on cubic hypersurfaces that split off two forms
• A Remark on Indeterminate Equations in Several Variables

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