Primitive rational points on expanding horocycles in products of the modular surface with the torus

DOI10.1017/etds.2020.15zbMath1469.37026arXiv1901.03078OpenAlexW2980723296WikidataQ114119261 ScholiaQ114119261MaRDI QIDQ4990633

Nimish A. Shah, Manfred Einsiedler, Manuel Luethi

Publication date: 31 May 2021

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.03078

zbMATH Keywords

equidistributionhomogeneous spaceKloosterman sumshigher-rank actionjoining rigidity

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Homogeneous flows (37A17) Relations between ergodic theory and number theory (37A44)

Related Items (4)

Translates of rational points along expanding closed horocycles on the modular surface ⋮ Rational points on nonlinear horocycles and pigeonhole statistics for the fractional parts of ⋮ Random walks, spectral gaps, and Khintchine's theorem on fractals ⋮ Joint equidistribution on the product of the circle and the unit cotangent bundle of the modular surface

Cites Work

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• Effective equidistribution and property (𝜏)
• THE VALUE DISTRIBUTION OF INCOMPLETE GAUSS SUMS
• Equidistribution of primitive rational points on expanding horospheres
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