Equivalence of the Apollonian and its inner metric.
Ergodic theory of interval exchange maps.
A unified introduction to the dynamics of interval exchange maps and related topics, such as the geometry of translation surfaces, renormalization operators, and Teichmüller flows, starting from the basic definitions and culminating with the proof that almost every interval exchange map is uniquely ergodic. Great emphasis is put on examples and geometric interpretations of the main ideas.
Ergodic Universality Theorems for the Riemann Zeta-Function and other -Functions
We prove a new type of universality theorem for the Riemann zeta-function and other -functions (which are universal in the sense of Voronin’s theorem). In contrast to previous universality theorems for the zeta-function or its various generalizations, here the approximating shifts are taken from the orbit of an ergodic transformation on the real line.
Ergodicity of some classes of meromorphic functions.
Erlangen program at large-1: geometry of invariants.
Ermittlung des konformen Moduls von Vierecken mit Differenzenmethoden.
ERRATA: Coefficient inequalities for certain classes of Ruscheweyh type analytic functions.
ERRATA: Inequalities associating hypergeometric functions with planar harmonic mappings.
Errata: Maximum modulus function of derivatives of entire functions defined by Dirichlet series
Errata to the paper "Irrationality results for theta functions by Gel'fond-Schneider's method" (Acta Arith. 53 (1989), 289-307)
Errata-Corrige : “Iteration theory, compactly divergent sequences and commuting holomorphic maps”
Erratum : A value-distribution criterion for the class and some related questions
Erratum for “Generalized dirichlet series and -functions”
Erratum for the paper "On extensions of the Laurent's theorem in the functional calculus with applications to the generation of higer transcendental functions"
Erratum : “Some classical function theory theorems and their modern versions”
Erratum: Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards. Invent. Math. 97, 553-583 (1989).
Erratum to: "Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces" (Studia Math. 213 (2012), 169-187)
Erratum to “Tchebotaröv’s extremal problem”
The original version of the article was published in Central European Journal of Mathematics, 2005, 3(4), 591–605. Unfortunately, the original version of this article contains a mistake. We give some corrections to our work.
Erratum to the paper "On the disc theorem" (Ann. Polon. Math. 55 (1991), 1-10)
Due to a technical error, part of a sentence was omitted on the top of page 8. The first line should read: “where , or , means the number of folds of the covering ending at p, i.e. covering a neighbourhood of p in without covering p itself”.
Erratum to "Unique range sets in positive characteristic" (Acta Arith. 103 (2002), 169-189)