Effective estimates on integral quadratic forms: Masser's conjecture, generators of orthogonal groups, and bounds in reduction theory
DOI10.1007/s00039-016-0379-2zbMath1356.11020OpenAlexW2513126632WikidataQ123359806 ScholiaQ123359806MaRDI QIDQ311145
Publication date: 29 September 2016
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00039-016-0379-2
integral orthogonal groupintegral quadratic formreduction theory of integral quadratic formsrepresentations of integral quadratic forms
Ergodicity, mixing, rates of mixing (37A25) Quadratic forms over global rings and fields (11E12) Linear algebraic groups over global fields and their integers (20G30) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Automorphism groups of lattices (11H56)
Related Items (7)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Effective estimates on indefinite ternary forms
- On the Ramanujan conjecture over number fields
- Klassenzahlen indefiniter quadratischer Formen in drei oder mehr Veränderlichen
- Arithmetic subgroups of algebraic groups
- Spinor equivalence of quadratic forms
- Volumes of S-arithmetic quotients of semi-simple groups. With an appendix by Moshe Jarden and Gopal Prasad
- Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces
- Volume, diameter and the first eigenvalue of locally symmetric spaces of rank one
- Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture
- Some general algorithms. I: Arithmetic groups
- Non-Abelian harmonic analysis. Applications of \(SL(2,{\mathbb{R}})\)
- Ramanujan duals. II
- Flows on homogeneous spaces and Diophantine approximation on manifolds
- Density of integer points on affine homogeneous varieties
- Démonstration de la conjecture \(\tau\). (Proof of the \(\tau\)-conjecture.)
- Rigidity, unitary representations of semisimple groups, and fundamental groups of manifolds with rank one transformation group
- Values of quadratic forms at primitive integral points
- Uniform pointwise bounds for matrix coefficients of unitary representations and applications to Kazhdan constants
- Some consequences of Arthur's work on the spectrum and topology of hyperbolic varieties
- Matrix coefficients, counting and primes for orbits of geometrically finite groups
- Local-global principles for representations of quadratic forms
- Automorphic forms on GL (2)
- Generalized Ramanujan conjecture over general imaginary quadratic fields
- Almost prime Pythagorean triples in thin orbits
- Bounded representations of integers by quadratic forms
- The Integral Representations of Quadratic Forms Over Local Fields
- On small solutions of the general nonsingular quadratic Diophantine equation in five or more unknowns
- On irreducible representations of the Lorentz group of $n$-th order
- On the Computational Complexity of Determining the Solvability or Unsolvability of the Equation X 2 - DY 2 = -1
- Representations of indefinite quadratic forms
- Small Solutions of Quadratic Diophantine Equations
- Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
- Heights and quadratic forms: on Cassels' theorem and its generalizations
- Representation of Quadratic Forms by Integral Quadratic Forms
- Polynomial bounds for equivalence of quadratic forms with cube-free determinant
- Ergodicity of Flows on Homogeneous Spaces
This page was built for publication: Effective estimates on integral quadratic forms: Masser's conjecture, generators of orthogonal groups, and bounds in reduction theory