Distribution of values of quadratic forms at integral points
From MaRDI portal
Publication:2118054
DOI10.1007/s00222-021-01086-6zbMath1487.11091arXiv1004.5123OpenAlexW1603516831MaRDI QIDQ2118054
Gregory A. Margulis, T. Hille, P. Buterus, Friedrich Götze
Publication date: 22 March 2022
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1004.5123
Related Items (6)
Explicit solutions to the Oppenheim conjecture forindefinite ternary diagonal forms ⋮ Strichartz estimates for the Schroedinger equation on non-rectangular two-dimensional tori ⋮ Bounds for theta sums in higher rank. I ⋮ Effective estimates on indefinite ternary forms ⋮ The \(n\)-point correlation of quadratic forms ⋮ A generic effective Oppenheim theorem for systems of forms
Cites Work
- A quantitative Oppenheim theorem for generic diagonal quadratic forms
- Quantitative version of the Oppenheim conjecture for inhomogeneous quadratic forms
- On a theorem of Davenport and Heilbronn
- Kleine Nullstellen homogener quadratischer Gleichungen. (Small zeros of homogeneous quadratic equations)
- Isotropic subspaces of rational quadratic forms
- Average decay of Fourier transforms and integer points in polyhedra
- Ergodic theory on \(SL(n)\), diophantine approximations and anomalies in the lattice point problem
- Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture
- Pair correlation densities of inhomogeneous quadratic forms
- The minima of indefinite quaternary quadratic forms
- A quantitative Oppenheim theorem for generic ternary quadratic forms
- Values of random polynomials at integer points
- On the Lambert \(w\) function
- Quadratic forms which have only large zeros
- Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
- Pair correlation densities of inhomogeneous quadratic forms. II.
- Lattice point problems and values of quadratic forms
- Lattice point problems and distribution of values of quadratic forms
- 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
- An introduction to the geometry of numbers.
- Values of special indefinite quadratic forms
- Indefinite Quadratic Forms in Many Variables (II)
- Small Zeros of Quadratic Forms
- On the lattice point problem for ellipsoids
- Diophantine Problems and Homogeneous Dynamics
- Quadratic Geometry of Numbers
- A Note on Fourier Transforms
- On small values of indefinite diagonal quadratic forms at integer points in at least five variables
- Gaps between values of positive definite quadratic forms
- On Indefinite Quadratic Forms in Five Variables
- Lie groups beyond an introduction
- 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
This page was built for publication: Distribution of values of quadratic forms at integral points