The density of integral points on hypersurfaces of degree at least four

DOI10.4064/aa141-3-1zbMath1208.11079arXiv0808.2910OpenAlexW2964186647MaRDI QIDQ5306690

Oscar Marmon

Publication date: 9 April 2010

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.2910

zbMATH Keywords

integral pointsvan der Corput's methodWeyl differencing

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Varieties over global fields (11G35) Diophantine equations in many variables (11D72)

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On the density of integer points on generalised Markoff-Hurwitz and Dwork hypersurfaces ⋮ Density of rational points near/on compact manifolds with certain curvature conditions ⋮ Sparsity of the intersection of polynomial images of an interval ⋮ Sums and differences of four \(k\)th powers ⋮ The density of rational points near hypersurfaces ⋮ Points on curves in small boxes and applications ⋮ Linear congruences with ratios ⋮ On the Hasse principle for quartic hypersurfaces

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