29 citations · 38 across the 4 of their papers we have counts for
4 papers
Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry
A. Eremenko, A. Gabrielov
Suppose that 2d-2 tangent lines to the rational normal curve z\mapsto (1 : z : ... : z^d) in d-dimensional complex projective space are given. It was known that the number of codim…
Value distribution and potential theory
Alexandre Eremenko
We describe some results of value distribution theory of holomorphic curves and quasiregular maps, which are obtained using potential theory. Among the results discussed are: exten…
Oscillation of Fourier Integrals with a spectral gap
A. Eremenko, D. Novikov
Suppose that Fourier transform of a function f is zero on the interval [-a,a]. We prove that the lower density of sign changes of f is at least a/pi, provided that f is a locally i…
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…