{
  "id": "1001.1891",
  "version": "v1",
  "published": "2010-01-12T14:37:47.000Z",
  "updated": "2010-01-12T14:37:47.000Z",
  "title": "Essential singularities of Euler products",
  "authors": [
    "Gautami Bhowmik",
    "Jan-Christoph Schlage-Puchta"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We classify singularities of Dirichlet series having Euler products which are rational functions for p and p^{-s} for p a prime number and give examples of natural boundaries from zeta functions of groups and height zeta functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-12T14:37:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30B50",
      "11M41",
      "30B40",
      "20F69",
      "11G50"
    ],
    "keywords": [
      "euler products",
      "essential singularities",
      "height zeta functions",
      "rational functions",
      "dirichlet series"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.1891B"
    }
  }
}