70 citations · 486 across the 82 of their papers we have counts for
6 papers · 1 filter
Meromorphic functions with three radially distributed values
Walter Bergweiler, Alexandre Eremenko
We consider transcendental meromorphic functions for which the zeros, 1-points and poles are distributed on three distinct rays. We show that such functions exist if and only if th…
Moduli of spherical tori with one conical point
Alexandre Eremenko, Gabriele Mondello, Dmitri Panov
In this paper we determine the topology of the moduli space of surfaces of genus one with a Riemannian metric of constant curvature and one coni…
Interactions between function theory and holomorphic dynamics
Alexandre Eremenko
This is a survey talk on the ICMS conference "Resonances of complex dynamics", 9-13 July 2018. Three examples which show how dynamical considerations lead to new results in complex…
The space of Schwarz-Klein triangles
Alexandre Eremenko, Andrei Gabrielov
We describe the space of spherical triangles (in the sense of Schwarz and Klein). It is a smooth connected orientable 3-manifold, homotopy equivalent to the 1-skeleton of the cubic…
Moduli spaces for Lamé functions and Abelian integrals of the second kind
Alexandre Eremenko, Andrei Gabrielov, Gabriele Mondello +1
The space of Lamé functions of order m is isomorphic to the space of pairs (elliptic curve, Abelian differential) where the differential has a single zero of order 2m at the origin…
Entire functions with separated zeros and -points
Walter Bergweiler, Alexandre Eremenko
We consider transcendental entire functions of finite order for which the zeros and -points are in disjoint sectors. Under suitable hypotheses on the sizes of these sectors we s…