Effective Equidistribution of Rational Points on Expanding Horospheres

DOI10.1093/imrn/rnx081zbMath1442.37052arXiv1609.00525OpenAlexW2963044761MaRDI QIDQ4619470

Min Lee, Jens Marklof

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.00525

zbMATH Keywords

rational pointsKloosterman sumsequidistribution theoremexpanding horospheres

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Special sequences (11K31) Relations between ergodic theory and number theory (37A44)

Related Items (5)

Translates of rational points along expanding closed horocycles on the modular surface ⋮ Effective joint equidistribution of primitive rational points on expanding horospheres ⋮ Matrix Kloosterman sums modulo prime powers ⋮ Equidistribution of Farey sequences on horospheres in covers of and applications ⋮ Primitive rational points on expanding horocycles in products of the modular surface with the torus

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