Equidistribution of primitive rational points on expanding horospheres

DOI10.1112/S0010437X15007605zbMath1382.37032arXiv1305.2678OpenAlexW3104453410WikidataQ104530199 ScholiaQ104530199MaRDI QIDQ5360217

Shahar Mozes, Uri Shapira, Manfred Einsiedler, Nimish A. Shah

Publication date: 28 September 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2678

zbMATH Keywords

equidistributionhomogeneous spaceorthogonal lattice

Mathematics Subject Classification ID

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Special sequences (11K31)

Related Items (10)

Translates of rational points along expanding closed horocycles on the modular surface ⋮ Linnik's problem in fiber bundles over quadratic homogeneous varieties ⋮ Effective joint equidistribution of primitive rational points on expanding horospheres ⋮ Group actions and harmonic analysis in number theory. Abstracts from the workshop held May 7--12, 2023 ⋮ Distribution of shapes of orthogonal lattices ⋮ Equidistribution of Farey sequences on horospheres in covers of and applications ⋮ Integer points on spheres and their orthogonal grids ⋮ Primitive rational points on expanding horospheres in Hilbert modular surfaces ⋮ Integer points on spheres and their orthogonal lattices ⋮ Primitive rational points on expanding horocycles in products of the modular surface with the torus

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• Measurable Quotients of Unipotent Translations on Homogeneous Spaces
• On the space of ergodic invariant measures of unipotent flows
• Hecke operators and equidistribution of Hecke points

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