{
  "id": "1709.08551",
  "version": "v1",
  "published": "2017-09-25T15:21:15.000Z",
  "updated": "2017-09-25T15:21:15.000Z",
  "title": "Non-vanishing of Dirichlet series without Euler products",
  "authors": [
    "William D. Banks"
  ],
  "comment": "11 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give a new proof that the Riemann zeta function is nonzero in the half-plane $\\{s\\in{\\mathbb C}:\\sigma>1\\}$. A novel feature of this proof is that it makes no use of the Euler product for $\\zeta(s)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-25T15:21:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06"
    ],
    "keywords": [
      "euler product",
      "dirichlet series",
      "riemann zeta function",
      "non-vanishing"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}