{ "id": "0706.3582", "version": "v1", "published": "2007-06-25T08:15:16.000Z", "updated": "2007-06-25T08:15:16.000Z", "title": "Bohr and Rogosinski abscissas for ordinary Dirichlet series", "authors": [ "Lev Aizenberg", "Victor Gotlib", "Alekos Vidras" ], "categories": [ "math.CV", "math.CA" ], "abstract": "We prove that the abscissas of Bohr and Rogosinski for ordinary Dirichlet series, mapping the right half-plane into the bounded convex domain $G\\subset \\mathbb{C} $ are independent of the domain $G$. Furthermore, we obtain new estimates about these abscissas.", "revisions": [ { "version": "v1", "updated": "2007-06-25T08:15:16.000Z" } ], "analyses": { "subjects": [ "30B50", "30A10" ], "keywords": [ "ordinary dirichlet series", "rogosinski abscissas", "right half-plane", "bounded convex domain" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0706.3582A" } } }