Pólya's Shire Theorem for Automorphic Functions |
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| Authors: | Matthias Weiss |
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| Institution: | (1) Case Western Reserve University, Cleveland, OH, 44106, U.S.A. |
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| Abstract: | Generalizing a classic result by Pólya concerning the zeros of successive derivatives of meromorphic functions in the complex plane, we study the accumulation set of zeros of successive derivatives of automorphic functions in the hyperbolic plane, as well as the connection between the automorphism group and the topology of this set in the Poincaré disk model. |
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| Keywords: | shire meromorphic function automorphic function zeros |
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