On an Oppenheim-type conjecture for systems of quadratic forms

DOI10.1007/BF02786629zbMath1055.11027arXivmath/0310230WikidataQ122999074 ScholiaQ122999074MaRDI QIDQ1885533

Alexander Gorodnik

Publication date: 11 November 2004

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0310230

zbMATH Keywords

hypersurfaceHaar measure

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20)

Related Items (4)

Khintchine-type theorems for values of subhomogeneous functions at integer points ⋮ Systems of quadratic Diophantine inequalities and the value distribution of quadratic forms ⋮ A generic effective Oppenheim theorem for systems of forms ⋮ Density of values of linear maps on quadratic surfaces

Cites Work

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• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Orbit closures of generic unipotent flows on homogeneous spaces of \(SL(3,{\mathbb{R}})\)
• Divergent trajectories of flows on homogeneous spaces and Diophantine approximation.
• Simultaneous quadratic inequalities
• Oppenheim conjecture for pairs consisting of a linear form and a quadratic form

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