On the number of zeros of certain rational harmonic functions

DOI10.1090/S0002-9939-05-08058-5zbMath1090.30008arXivmath/0401188MaRDI QIDQ3372083

Publication date: 17 February 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401188

zbMATH Keywords

harmonic function rational function gravitational lensing S. H. Rhie conjecture Wilmshurst conjecture

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) General relativity (83C99) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

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Cites Work

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