Asymptotic distribution of values of isotropic here quadratic forms at \(S\)-integral points
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Publication:1630373
DOI10.3934/jmd.2017020zbMath1407.11084arXiv1605.02490OpenAlexW2963168592MaRDI QIDQ1630373
Seonhee Lim, Jiyoung Han, Keivan Mallahi Karai
Publication date: 10 December 2018
Published in: Journal of Modern Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.02490
Combinatorics on words (68R15) Ergodic theory on groups (22D40) Discrete subgroups of Lie groups (22E40) Coloring of graphs and hypergraphs (05C15) Lattice points in specified regions (11P21) Dynamical systems involving maps of trees and graphs (37E25) Minima of forms (11H50)
Related Items (4)
Rogers' mean value theorem for \(S\)-arithmetic Siegel transforms and applications to the geometry of numbers ⋮ Values of inhomogeneous forms at S ‐integral points ⋮ Quantitative Oppenheim conjecture for \(S\)-arithmetic quadratic forms of rank \(3\) and \(4 \) ⋮ Effective discreteness radius of stabilizers for stationary actions
Cites Work
- Arithmetic subgroups of algebraic groups
- Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture
- Invariant measures for actions of unipotent groups over local fields on homogeneous spaces
- Raghunathan's conjectures for Cartesian products of real and \(p\)-adic Lie groups
- Quadratic forms of signature \((2,2)\) and eigenvalue spacings on rectangular 2-tori
- Flows on \(S\)-arithmetic homogeneous spaces and applications to metric Diophantine approximation
- Approximation to algebraic numbers
- Indefinite quadratic forms
- A.D. Alexandrov spaces with curvature bounded below
- Indefinite Quadratic Forms
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