A remark on positive definite quadratic forms and rational points

DOI10.1007/s00209-016-1752-4zbMath1387.11028arXiv1510.06214OpenAlexW2963706925MaRDI QIDQ522050

Nikolay G. Moshchevitin

Publication date: 12 April 2017

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.06214

zbMATH Keywords

rational pointsquadratic formsDiophantine approximations

Mathematics Subject Classification ID

Metric theory (11J83) Forms over real fields (11E10)

Related Items (1)

Simultaneous Diophantine approximation: sums of squares and homogeneous polynomials

Cites Work

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• Rational approximation on spheres
• On the rational points on the sphere
• Kleine Nullstellen homogener quadratischer Gleichungen. (Small zeros of homogeneous quadratic equations)
• Isotropic subspaces of rational quadratic forms
• Quadratic forms which have only large zeros
• Small linearly independent zeros of quadratic forms
• Intrinsic Diophantine approximation on manifolds: General theory
• Heights and quadratic forms: on Cassels' theorem and its generalizations

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