{
  "id": "1006.1723",
  "version": "v2",
  "published": "2010-06-09T07:32:06.000Z",
  "updated": "2010-09-08T15:56:46.000Z",
  "title": "On the value distribution and moments of the Epstein zeta function to the right of the critical strip",
  "authors": [
    "Anders Södergren"
  ],
  "comment": "30 pages; revised statement of Proposition 2.1",
  "journal": "Journal of Number Theory 131 (2011) 1176-1208",
  "categories": [
    "math.NT"
  ],
  "abstract": "We study the Epstein zeta function $E_n(L,s)$ for $s>\\frac{n}{2}$ and determine for fixed $c>\\frac{1}{2}$ the value distribution and moments of $E_n(\\cdot,cn)$ (suitably normalized) as $n\\to\\infty$. We further discuss the random function $c\\mapsto E_n(\\cdot,cn)$ for $c\\in[A,B]$ with $\\frac{1}{2}<A<B$ and determine its limit distribution as $n\\to\\infty$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-09-08T15:56:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11E45",
      "11M41"
    ],
    "keywords": [
      "epstein zeta function",
      "value distribution",
      "critical strip",
      "random function"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.1723S"
    }
  }
}