{
  "id": "1810.01694",
  "version": "v1",
  "published": "2018-10-03T11:33:44.000Z",
  "updated": "2018-10-03T11:33:44.000Z",
  "title": "Selberg Integral over Local Fields",
  "authors": [
    "Zenan Fu",
    "Yongchang Zhu"
  ],
  "comment": "12 pages, no figures",
  "categories": [
    "math.NT"
  ],
  "abstract": "Selberg introduced his beautiful integral formula in 1944, see [Sel]. Evans [E1] conjectured a finite field analog of Selberg integral formula in 1980. And Anderson [An] proved a major case of it in 1981 and his ideas was used to obtained the complete result [E2]. On the other hand, Aomoto [Ao] proved an analog of Selberg integral for complex field ${\\mathbb{C}}$ in 1987. The purpose of the present paper is to formulate and prove Selberg integral formula for local fields of characteristic zero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-03T11:33:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local fields",
      "selberg integral formula",
      "finite field analog",
      "characteristic zero",
      "beautiful integral formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}