424 citations
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Showing 2002 · math.CVShow all
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math.CV2002
A negative answer to Nevanlinna's type question and a parabolic surface with a lot of negative curvature
Itai Benjamini, Sergei Merenkov, Oded Schramm
Consider a simply connected Riemann surface represented by a Speiser graph. Nevanlinna asked if the type of the surface is determined by the mean excess of the graph: whether mean…
math.CV2002★ 29 cited
Real entire functions with real zeros and a conjecture of Wiman
Walter Bergweiler, A. Eremenko, J. K. Langley
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 compl…