The Hasse Principle for Systems of Quadratic and Cubic Diagonal Equations

DOI10.1093/QMATH/HAW059zbMath1422.11072arXiv1612.00719OpenAlexW2964106660MaRDI QIDQ4602834

Julia Brandes

Publication date: 7 February 2018

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.00719

zbMATH Keywords

Hasse principlelocal-global principle\(p\)-adic solubilityquadratic diagonal forms

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Counting solutions of Diophantine equations (11D45) Diophantine equations in many variables (11D72) Galois cohomology of linear algebraic groups (11E72)

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The Hasse principle for diagonal forms restricted to lower-degree hypersurfaces ⋮ Optimal mean value estimates beyond Vinogradov's mean value theorem

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