{
  "id": "math/0007145",
  "version": "v1",
  "published": "2000-07-25T02:23:32.000Z",
  "updated": "2000-07-25T02:23:32.000Z",
  "title": "New Non-Abelian Zeta Functions for Curves over Finite Fields",
  "authors": [
    "Lin WENG"
  ],
  "comment": "PlainTeX",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper, we introduce and study two new types of non-abelian zeta functions for curves over finite fields, which are defined by using (moduli spaces of) semi-stable vector bundles and non-stable bundles. A Riemann-Weil type hypothesis is formulated for zeta functions associated to semi-stable bundles, which we think is more canonical than the other one. All this is motivated by (and hence explains in a certain sense) our work on non-abelian zeta functions for number fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-07-25T02:23:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-abelian zeta functions",
      "finite fields",
      "riemann-weil type hypothesis",
      "number fields",
      "moduli spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......7145W"
    }
  }
}