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On Length Sets of Subarithmetic Hyperbolic Manifolds - MaRDI portal

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On Length Sets of Subarithmetic Hyperbolic Manifolds

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Publication:6389253

DOI10.1007/S00208-023-02713-8arXiv2201.10955OpenAlexW4386388277MaRDI QIDQ6389253

Author name not available (Why is that?)

Publication date: 26 January 2022

Abstract: We formulate the Asymptotic Length-Saturation Conjecture on the length sets of closed geodesics on hyperbolic manifolds whose fundamental groups are subarithmetic, that is, contained in an arithmetic group. We prove the first instance of the conjecture for punctured, Zariski dense covers of the modular surface. The tools involved include the Orbital Circle Method, expansion and counting in congruence towers of thin groups, estimates for exponential sums, bilinear forms, and quadratic L-series.


Full work available at URL: https://doi.org/10.1007/s00208-023-02713-8




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