70 citations · 486 across the 82 of their papers we have counts for
5 papers · 2 filters
Quasiconformal surgery and linear differential equations
Walter Bergweiler, Alexandre Eremenko
We describe a new method of constructing transcendental entire functions such that the differential equation has two linearly independent solutions with relatively fe…
Entire functions with two radially distributed values
Walter Bergweiler, Alexandre Eremenko, Aimo Hinkkanen
We study entire functions whose zeros and one-points lie on distinct finite systems of rays. General restrictions on these rays are obtained. Non-trivial examples of entire functio…
On metrics of curvature 1 with four conic singularities on tori and on the sphere
Alexandre Eremenko, Andrei Gabrielov
We discuss conformal metrics of curvature 1 on tori and on the sphere, with four conic singularities whose angles are multiples of pi/2. Besides some general results we study in de…
Green's function and anti-holomorphic dynamics on a torus
Walter Bergweiler, Alexandre Eremenko
We give a new, simple proof of the fact recently discovered by C.-S. Lin and C.-L. Wang that the Green function of a torus has either three or five critical points, depending on th…
Spherical quadrilaterals with three non-integer angles
Alexandre Eremenko, Andrei Gabrielov, Vitaly Tarasov
We classify spherical quadrilaterals up to isometry in the case when one inner angle is a multiple of pi while the other three are not. This is equivalent to classification of Heun…