Integer points on spheres and their orthogonal lattices

DOI10.1007/s00222-016-0655-7zbMath1410.11117arXiv1502.04209OpenAlexW3106229159MaRDI QIDQ2520603

Uri Shapira, Manfred Einsiedler, Menny Aka

Publication date: 16 December 2016

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04209

zbMATH Keywords

quadratic formslattice points in specified regionsrelations with number theory and harmonic analysis

Mathematics Subject Classification ID

Lattice points in specified regions (11P21) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (12)

Some recents advances on Duke’s equidistribution theorems ⋮ Planes in four-space and four associated CM points ⋮ Simultaneous supersingular reductions of CM elliptic curves ⋮ Joinings of higher rank torus actions on homogeneous spaces ⋮ Linnik's problem in fiber bundles over quadratic homogeneous varieties ⋮ Effective equidistribution of lattice points in positive characteristic ⋮ Equidistribution and freeness on Grassmannians ⋮ The unipotent mixing conjecture ⋮ Group actions and harmonic analysis in number theory. Abstracts from the workshop held May 7--12, 2023 ⋮ Distribution of shapes of orthogonal lattices ⋮ Linnik's problems and maximal entropy methods ⋮ Equidistribution on Kuga-Sato varieties of torsion points on CM elliptic curves

Cites Work

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• Local-global principles for representations of quadratic forms
• Integer points on spheres and their orthogonal grids
• Equidistribution of primitive rational points on expanding horospheres
• Distribution of shapes of orthogonal lattices
• Linnik's ergodic method and the distribution of integer points on spheres

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