{
  "id": "1002.3289",
  "version": "v1",
  "published": "2010-02-17T15:54:12.000Z",
  "updated": "2010-02-17T15:54:12.000Z",
  "title": "Function fields and random matrices",
  "authors": [
    "Douglas Ulmer"
  ],
  "comment": "37 pages. Appeared in \"Ranks of elliptic curves and random matrix theory\" (LMS Lecture Note Series 341), Cambridge Univ. Press, 2007",
  "categories": [
    "math.NT"
  ],
  "abstract": "This is a survey article written for a workshop on L-functions and random matrix theory at the Newton Institute in July, 2004. The goal is to give some insight into how well-distributed sets of matrices in classical groups arise from families of $L$-functions in the context of function fields of curves over finite fields. The exposition is informal and no proofs are given; rather, our aim is to illustrate what is true by considering key examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-17T15:54:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M50",
      "11G40"
    ],
    "keywords": [
      "function fields",
      "random matrices",
      "survey article written",
      "random matrix theory",
      "finite fields"
    ],
    "tags": [
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.3289U"
    }
  }
}