The asymptotic behavior of Eisenstein series and a comparison of the Weil-Petersson and the Zograf-Takhtajan metrics

DOI10.2977/prims/1145477232zbMath1012.11043OpenAlexW2270820884MaRDI QIDQ1596550

Kunio Obitsu

Publication date: 29 June 2003

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1145477232

zbMATH Keywords

Teichmüller spaceEisenstein seriesinjectivity radiusWeil-Petersson metricShimizu-Leutbecher lemmaZograf-Takhtajan metric

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items (4)

Hyperbolic Eisenstein series for geometrically finite hyperbolic surfaces of infinite volume ⋮ Grafting hyperbolic metrics and Eisenstein series ⋮ Harmonic differentials and infinite geodesic joining two punctures on a Riemann surface ⋮ The asymptotic behavior of the Takhtajan-Zograf metric

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