2014/01/19 by Anilatmaja Aryasomayajula, Aryasomayajula, Anilatmaja · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Geometric and Algebraic Topology #Holomorphic and Operator Theory #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.1401.4682
openalex publication_date 2014/01/19 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
In 2006, in a paper published in Compositio titled "Bounds on canonical\nGreen's functions", J. Jorgenson and J. Kramer derived bounds for the canonical\nGreen's function and the hyperbolic Green's function defined on a compact\nhyperbolic Riemann surface. In this article, we extend these bounds to\nnoncompact hyperbolic Riemann orbisurfaces of finite volume and of genus\ngreater than zero, which can be realized as a quotient space of the action of a\nFuchsian subgroup of first kind on the hyperbolic upper half-plane.\n Our bounds are optimally derived by following the methods from the above\nmentioned paper of J. Jorgenson and J. Kramer.\n