The Problem of Analytic Continuation and Zero Distribution of Hermite–Padé Polynomials

During the talk we will discuss the classical problem of analytic continuation of a multivalued analytic function which is given by a germ. The approach under discussion is based on the notion of Hermite–Padé polynomials and closely connected with Nuttall's conjecture about the special partition of a three-sheeted Riemann surface.
The talk is based on the results that obtained recently in collaboration with A. V. Komlov, N. G. Kruzhilin, and R. V. Palvelev.