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Prime number theorems for Basmaijan-type identities

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Speaker: 
Yan Mary He
Zugehörigkeit: 
University of Luxembourg
Datum: 
Don, 2019-05-02 16:30 - 17:30
Location: 
MPIM Lecture Hall
Basmajian identity expresses the volume of the boundary of a compact
hyperbolic manifold as a sum over the orthogeodesics on the manifold. In
the spirit of Dirichlet’s unit theorem, we introduce Hecke-type L-functions
coming from Basmajian identities for Schottky groups and quadratic
polynomials. We discuss their applications to counting (complex)
orthospectrum, equidistribution of holonomy and orbit counting in complex
dynamics.
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