Effective estimates on indefinite ternary forms
From MaRDI portal
Publication:476512
DOI10.1007/s11856-014-1110-3zbMath1308.37002OpenAlexW1978489738MaRDI QIDQ476512
Elon Lindenstrauss, Gregory A. Margulis
Publication date: 2 December 2014
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11856-014-1110-3
Sums of squares and representations by other particular quadratic forms (11E25) Homogeneous spaces (22F30) Discrete subgroups of Lie groups (22E40) Homogeneous flows (37A17)
Related Items (19)
Effective estimates on integral quadratic forms: Masser's conjecture, generators of orthogonal groups, and bounds in reduction theory ⋮ Explicit solutions to the Oppenheim conjecture forindefinite ternary diagonal forms ⋮ Khintchine-type theorems for values of subhomogeneous functions at integer points ⋮ Values of inhomogeneous forms at S ‐integral points ⋮ Quantitative disjointness of nilflows from horospherical flows ⋮ Inhomogeneous Diophantine approximation for generic homogeneous functions ⋮ Polynomial effective equidistribution ⋮ Finitary analysis in homogeneous spaces ⋮ Polynomial effective density in quotients of \(\mathbb{H}^3\) and \(\mathbb{H}^2 \times \mathbb{H}^2\) ⋮ Effective equidistribution for multiplicative Diophantine approximation on lines ⋮ New bounds in reduction theory of indefinite ternary integral quadratic forms ⋮ An effective equidistribution result for SL(2,R)⋉(R2)⊕k and application to inhomogeneous quadratic forms ⋮ On the density at integer points of a system comprising an inhomogeneous quadratic form and a linear form ⋮ Values of random polynomials in shrinking targets ⋮ A quantitative Oppenheim theorem for generic diagonal quadratic forms ⋮ A generic effective Oppenheim theorem for systems of forms ⋮ A quantitative Oppenheim theorem for generic ternary quadratic forms ⋮ Badly approximable points on manifolds and unipotent orbits in homogeneous spaces ⋮ An effective Ratner equidistribution result for SL\((2,\mathbb R)\ltimes \mathbb R^2\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Horocycle flows, joinings and rigidity of products
- Raghunathan's topological conjecture and distributions of unipotent flows
- Distribution of periodic torus orbits on homogeneous spaces
- Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces
- On measure rigidity of unipotent subgroups of semisimple groups
- On Raghunathan's measure conjecture
- Invariant measures of horospherical flows on non-compact homogeneous spaces
- Flows on homogeneous spaces and Diophantine approximation on manifolds
- Invariant measures for actions of unipotent groups over local fields on homogeneous spaces
- A proof of Margulis' theorem on values of quadratic forms, independent of the axiom of choice
- Values of quadratic forms at integral points: An elementary approach
- Strict measure rigidity for unipotent subgroups of solvable groups
- Orbit closures of generic unipotent flows on homogeneous spaces of \(SL(3,{\mathbb{R}})\)
- Values of quadratic forms at primitive integral points
- Lattice point problems and distribution of values of quadratic forms
- Distribution of values of quadratic forms at integral points
- Measure rigidity for almost linear groups and its applications
- A special case of effective equidistribution with explicit constants
- Unipotent flows on products of $SL(2,K)/\Gamma$'s
- On uniformly distributed orbits of certain horocycle flows
- On Indefinite Quadratic Forms in Five Variables
- On the product of three homogeneous linear forms and indefinite ternary quadratic forms
This page was built for publication: Effective estimates on indefinite ternary forms
