Rogers' mean value theorem for \(S\)-arithmetic Siegel transforms and applications to the geometry of numbers
From MaRDI portal
Publication:2161327
DOI10.1016/j.jnt.2021.12.012zbMath1506.11100arXiv1910.01824OpenAlexW4210498963WikidataQ113870318 ScholiaQ113870318MaRDI QIDQ2161327
Publication date: 4 August 2022
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.01824
effective Oppenheim conjecture\(S\)-arithmetic geometry of numberslattice counting problemrandom Gauss circle problemRogers' higher moment formulas
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Equidistribution of values of linear forms on quadratic surfaces
- Mittelwerte über Gitter
- Polynomial dynamic and lattice orbits in \(S\)-arithmetic homogeneous spaces
- Limit distributions of expanding translates of certain orbits on homogeneous spaces
- Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture
- Asymptotic distribution of values of isotropic here quadratic forms at \(S\)-integral points
- Central limit theorems in the geometry of numbers
- A quantitative Oppenheim theorem for generic ternary quadratic forms
- Values of random polynomials at integer points
- Logarithm laws for flows on homogeneous spaces
- A generic effective Oppenheim theorem for systems of forms
- Central limit theorems for simultaneous Diophantine approximations
- Logarithm laws for unipotent flows. I.
- Central limit theorems for Diophantine approximants
- Asymptotic formulae for point lattices of bounded determinant and subspaces of bounded height
- A mean value theorem in geometry of numbers
- Mean values over the space of lattices
- On lattice points in large convex bodies
- The Number of Lattice Points in a Set
- A Metrical Theorem In Geometry of Numbers
- Optimal density for values of generic polynomial maps
- Values of random polynomials in shrinking targets
- Values of inhomogeneous forms at S ‐integral points
This page was built for publication: Rogers' mean value theorem for \(S\)-arithmetic Siegel transforms and applications to the geometry of numbers