The arithmetic and geometry of some hyperbolic three manifolds

DOI10.1007/BF02393209zbMath0527.10022OpenAlexW1966331339WikidataQ106822492 ScholiaQ106822492MaRDI QIDQ595693

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf02393209

zbMATH Keywords

Eisenstein series binary quadratic forms first eigenvalue Selberg zeta-function estimates of Kloosterman sums hyperbolic three manifolds Laplacian lengths of closed geodesics loxodromic classes prime geodesic theorems

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Analysis on real and complex Lie groups (22E30) Modular and automorphic functions (11F03) Theta series; Weil representation; theta correspondences (11F27) Geodesics in global differential geometry (53C22) Differential geometry of symmetric spaces (53C35) Estimates on character sums (11L40)

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