Jerusalem Mathematics Colloquium

Thursday, 5th January 2006, 4:00 pm
Mathematics Building, Lecture Hall 2

Alexandre Eremenko
(Purdue University)

"Polya's conjecture on zeros of successive derivatives of real entire functions"

Abstract: This talk is based on a joint work with Walter Bergweiler. We prove Polya's conjecture of 1943: For a real entire function of order greater than 2, with finitely many non-real zeros, the number of non-real zeros of the n-th derivative tends to infinity as n tends to infinity. We use the saddle point method and potential theory, combined with the theory of analytic functions with positive imaginary part in the upper half-plane.

Light refreshments will be served in the faculty lounge at 3:30.

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