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Simultaneous Diophantine approximation with quadratic and linear forms

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Publication:928471
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DOI10.3934/JMD.2008.2.129zbMath1165.11058OpenAlexW2003979212MaRDI QIDQ928471

Shrikrishna G. Dani

Publication date: 18 June 2008

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jmd.2008.2.129


zbMATH Keywords

quadratic formsDiophantine inequalitiesflows on homogeneous spaces


Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Simultaneous homogeneous approximation, linear forms (11J13) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)


Related Items (7)

On the density of S-adic integers near some projective G-varieties ⋮ Values of pairs involving one quadratic form and one linear form at \(S\)-integral points ⋮ An `almost all versus no' dichotomy in homogeneous dynamics and Diophantine approximation ⋮ Inhomogeneous Diophantine approximation for generic homogeneous functions ⋮ On the density at integer points of a system comprising an inhomogeneous quadratic form and a linear form ⋮ A generic effective Oppenheim theorem for systems of forms ⋮ Density of values of linear maps on quadratic surfaces







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