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Pair correlation of angles between reciprocal geodesics on the modular surface

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Publication:399379
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DOI10.2140/ant.2014.8.999zbMath1304.11073arXiv1102.0328OpenAlexW3098902762MaRDI QIDQ399379

Alexandru Zaharescu, Alexandru A. Popa, Florin P. Boca, Vicentiu Pasol

Publication date: 19 August 2014

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0328


zbMATH Keywords

pair correlationmodular surfacehyperbolic lattice angleshyperbolic lattice pointsreciprocal geodesics


Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Lattice points in specified regions (11P21) Well-distributed sequences and other variations (11K36) Distribution modulo one (11J71)


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Angles in hyperbolic lattices: The pair correlation density ⋮ The distribution of gaps for saddle connection directions ⋮ Fine-scale distribution of roots of quadratic congruences ⋮ On the distribution of lattice points on hyperbolic circles ⋮ On the pair correlation density for hyperbolic angles ⋮ Combinatorial growth in the modular group



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