0526  Berichtsreihe des Mathematischen Seminars der Universität Kiel  
Walter Bergweiler, Alexandre Eremenko:Proof of a conjecture of Polya on the zeros of successive derivatives of real entire functionsWe prove Polya's conjecture of 1943: For a real entire function of order greater than 2, with finitely many nonreal zeros, the number of nonreal zeros of the nth derivative tends to infinity with n. We use the saddle point method and potential theory, combined with the theory of analytic functions with positive imaginary part in the upper halfplane. Electronic Print: Front for the Mathematics ArXiv Mathematics Subject Classification (1991): 30D15; 30E15 Bibliographical note: Acta Math. 197, 125146 (2006)

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