Zero free regions for Dirichlet series
Number Theory
2014-02-17 v1 Functional Analysis
Abstract
In this paper, we are interested in explicit zero-free discs for some Dirichlet series and we also study a general Beurling-Nyman criterion for -functions. Our results generalize and improve previous results obtained by N. Nikolski and by A. de Roton. As a concrete application, we get, for example, a Beurling-Nyman type criterion for the Siegel zero problem.
Cite
@article{arxiv.1101.1199,
title = {Zero free regions for Dirichlet series},
author = {Christophe Delaunay and Emmanuel Fricain and Elie Mosaki and Olivier Robert},
journal= {arXiv preprint arXiv:1101.1199},
year = {2014}
}