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Effective equidistribution in rank 2 homogeneous spaces and values of quadratic forms

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arxiv 2503.21064 v2 pith:HHFCEMWS submitted 2025-03-27 math.DS math.NT

Elon Lindenstrauss , Amir Mohammadi , Zhiren Wang , Lei Yang This is my paper · ORCID
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keywords effectiveequidistributionestablishquadraticquantitativerankresultsvalues
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We establish effective equidistribution theorems, with a polynomial error rate, for orbits of unipotent subgroups in quotients of quasi-split, almost simple Linear algebraic groups of absolute rank 2. As an application, inspired by the results of Eskin, Margulis and Mozes, we establish quantitative results regarding the distribution of values of an indefinite ternary quadratic form at integer points, giving in particular an effective and quantitative proof of the Oppenheim Conjecture.

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Cited by 3 Pith papers

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