{
  "id": "math/0411464",
  "version": "v1",
  "published": "2004-11-22T17:37:07.000Z",
  "updated": "2004-11-22T17:37:07.000Z",
  "title": "Mirror Symmetry For Zeta Functions",
  "authors": [
    "Daqing Wan"
  ],
  "comment": "28 pages",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "In this paper, we study the relation between the zeta function of a Calabi-Yau hypersurface and the zeta function of its mirror. Two types of arithmetic relations are discovered. This motivates us to formulate two general arithmetic mirror conjectures for the zeta functions of a mirror pair of Calabi-Yau manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-11-22T17:37:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "zeta function",
      "mirror symmetry",
      "general arithmetic mirror conjectures",
      "calabi-yau hypersurface",
      "mirror pair"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11464W"
    }
  }
}