Article contents
RATIONAL POINTS ON CUBIC HYPERSURFACES THAT SPLIT INTO FOUR FORMS
Part of:
Forms and linear algebraic groups
Diophantine equations
Arithmetic problems. Diophantine geometry
Additive number theory; partitions
Published online by Cambridge University Press: 29 January 2016
Abstract
Let $C\in \mathbb{Z}[x_{1},\ldots ,x_{n}]$ be a cubic form. Assume that $C$ splits into four forms. Then $C(x_{1},\ldots ,x_{n})=0$ has a non-trivial integer solution provided that $n\geqslant 10$.
MSC classification
Primary:
11D72: Equations in many variables
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- Research Article
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- Copyright © University College London 2016
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