Dirichlet approximation and universal Dirichlet series
Complex Variables
2016-08-24 v1
Abstract
We characterize the uniform limits of Dirichlet polynomials on a right half plane. In the Dirichlet setting, we find approximation results, with respect to the Euclidean distance and {to} the chordal one as well, analogous to classical results of Runge, Mergelyan and Vitushkin. We also strengthen the notion of universal Dirichlet series.
Cite
@article{arxiv.1608.06457,
title = {Dirichlet approximation and universal Dirichlet series},
author = {Richard Aron and Frédéric Bayart and Paul Gauthier and Manuel Maestre and Vassili Nestoridis},
journal= {arXiv preprint arXiv:1608.06457},
year = {2016}
}