Equidistribution of values of linear forms on quadratic surfaces

DOI10.2140/ant.2014.8.895zbMath1314.11018arXiv1303.0234OpenAlexW3102444749MaRDI QIDQ399374

Oliver Sargent

Publication date: 19 August 2014

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.0234

zbMATH Keywords

quadratic formsequidistributionhomogeneous spacelinear mapsasymptotic relationeffective uniform upper boundintegral valuesOppenhaim conjectureRaghunathan conjectureRatner's equidistribution theoremunipotent flows

Mathematics Subject Classification ID

Rotation numbers and vectors (37E45) Forms over real fields (11E10) Homogeneous flows (37A17)

Related Items (3)

Rogers' mean value theorem for \(S\)-arithmetic Siegel transforms and applications to the geometry of numbers ⋮ A generic effective Oppenheim theorem for systems of forms ⋮ Quantitative Oppenheim conjecture for \(S\)-arithmetic quadratic forms of rank \(3\) and \(4 \)

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