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Real entire functions with real zeros and a conjecture of Wiman

arXiv:math/0207229 · doi:10.1007/s00039-003-0437-4

Abstract

If f is a real entire function and ff" has only real zeros then f belongs to the Laguerre-Polya class, the closure of the set of real polynomials with real zeros. This result completes a long line of development originating from a conjecture of Wiman in 1914.

17 pages, LaTeX