Counting lattice points

DOI10.1515/CRELLE.2011.096zbMath1248.37011arXiv0903.1515OpenAlexW2963971572MaRDI QIDQ3118991

Alexander Gorodnik, Amos Nevo

Publication date: 7 March 2012

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1515

zbMATH Keywords

lattice pointslocally compactergodic theorem

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Ergodic theory on groups (22D40) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (31)

Best possible rates of distribution of dense lattice orbits in homogeneous spaces ⋮ On the minimal diameter of closed hyperbolic surfaces ⋮ An application of lattice points counting to shrinking target problems ⋮ Prime and almost prime integral points on principal homogeneous spaces ⋮ Angles in hyperbolic lattices: The pair correlation density ⋮ Counting intrinsic Diophantine approximations in simple algebraic groups ⋮ Linnik's problem in fiber bundles over quadratic homogeneous varieties ⋮ On the growth rate of Rankin-Selberg series ⋮ Effective equidistribution of lattice points in positive characteristic ⋮ Fourier expansion of light‐cone Eisenstein series ⋮ Horospherical coordinates of lattice points in hyperbolic spaces: effective counting and equidistribution ⋮ Discrepancy of rational points in simple algebraic groups ⋮ Mini-workshop: (Anosov)\(^3\). Abstracts from the mini-workshop held December 5--11, 2021 (hybrid meeting) ⋮ Geometric counting on wavefront real spherical spaces ⋮ Ergodic theory and the duality principle on homogeneous spaces ⋮ Higher Order Correlations for Group Actions ⋮ Effective mixing and counting in Bruhat–Tits trees ⋮ Effective equidistribution of the real part of orbits on hyperbolic surfaces ⋮ Local average in hyperbolic lattice point counting, with an appendix by Niko Laaksonen ⋮ A numerical study on exceptional eigenvalues of certain congruence subgroups of \(\mathrm {SO}(n,1)\) and \(\mathrm {SU}(n,1)\) ⋮ Quantitative ergodic theorems and their number-theoretic applications ⋮ Diophantine approximation with restricted numerators and denominators on semisimple groups ⋮ The lattice point counting problem on the Heisenberg groups ⋮ Kakutani equivalence of unipotent flows ⋮ Unnamed Item ⋮ Aperiodic order and spherical diffraction. II: Translation bounded measures on homogeneous spaces ⋮ (Non)-escape of mass and equidistribution for horospherical actions on trees ⋮ Effective counting for discrete lattice orbits in the plane via Eisenstein series ⋮ Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics ⋮ Exploiting Symmetries in Polyhedral Computations ⋮ Bounded generation by semi-simple elements: quantitative results

This page was built for publication: Counting lattice points