2016, Aron, Richard M., Bayart, Frédéric, Gauthier, Paul M., Maestre, Manuel, Nestoridis, Vassili

We characterize the uniform limits of Dirichlet polynomials on a right half plane. We extend the approximation theorems of Runge,Mergelyan and Vitushkin to the Dirichlet setting with respect to the Euclidean distance and to the chordal one, as well. We also strengthen the notion of Universal Dirichlet series.