Quantitative version of the Oppenheim conjecture for inhomogeneous quadratic forms
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Publication:541159
DOI10.1215/00127094-1276319zbMath1243.11054arXiv1001.2756OpenAlexW2964141379WikidataQ123242526 ScholiaQ123242526MaRDI QIDQ541159
Amir Mohammadi, Gregory A. Margulis
Publication date: 6 June 2011
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1001.2756
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) General ternary and quaternary quadratic forms; forms of more than two variables (11E20)
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Cites Work
- The quantitative behaviour of polynomial orbits on nilmanifolds
- Limit distributions of expanding translates of certain orbits on homogeneous spaces
- Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture
- Flows on homogeneous spaces and Diophantine approximation on manifolds
- Pair correlation densities of inhomogeneous quadratic forms
- Effective equidistribution of \(S\)-integral points on symmetric varieties
- Quadratic forms of signature \((2,2)\) and eigenvalue spacings on rectangular 2-tori
- Asymptotic formulae for point lattices of bounded determinant and subspaces of bounded height
- Translate of horospheres and counting problems
- Level clustering in the regular spectrum
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