70 citations · 486 across the 82 of their papers we have counts for
7 papers · 2 filters
On the second main theorem of Cartan
Alexandre Eremenko
The possibility of reversion of the inequality in the Second Main Theorem of Cartan in the theory of holomorphic curves in projective space is discussed. A new version of this theo…
Remarks on the Obrechkoff inequality
Alexandre Eremenko, Alexander Fryntov
Oberchkoff's inequality says that a polynomial of degree d with non-negative coefficients has at most 2ad/pi zeros in the angle {|arg z|<a}. We improve and generalize this inequali…
Distribution of zeros of polynomials with positive coefficients
Alexandre Eremenko, Walter Bergweiler
We describe the limit zero distributions of sequences of polynomials with positive coefficients.
Metrics with four conic singularities and spherical quadrilaterals
Alexandre Eremenko, Andrei Gabrielov, Vitaly Tarasov
A spherical quadrilateral is a bordered surface homeomorphic to a closed disk, with four distinguished boundary points called corners, equipped with a Riemannian metric of constant…
On the Bank-Laine conjecture
Walter Bergweiler, Alexandre Eremenko
We resolve a question of Bank and Laine on the zeros of solutions of where is an entire function of finite order.
Quasi-exceptional domains
Alexandre Eremenko, Erik Lundberg
Exceptional domains are domains on which there exists a positive harmonic function, zero on the boundary and such that the normal derivative on the boundary is constant. Recent res…