{
  "id": "1709.00820",
  "version": "v1",
  "published": "2017-09-04T06:01:09.000Z",
  "updated": "2017-09-04T06:01:09.000Z",
  "title": "On the distribution of divisors of monic polynomial over function fields",
  "authors": [
    "Yiqin He",
    "Bicheng Zhang"
  ],
  "comment": "25 pages,2 figures",
  "categories": [
    "math.NT"
  ],
  "abstract": "This paper deals with function field analogues of famous theorems of Laudau which counted the number of integers which have $t$ prime factors and R. Hall which researched the distribution of divisors of integers in residue classes.\\;We extend the Selberg-Delange method to handle the following problems.\\;The number of monic polynomials with degree $n$ have $t$ irreducible factors;\\;The number of monic polynomials with degree $n$ in some residue classes have $t$ irreducible factors and the residue classes distribution of divisors of monic polynomial.\\;",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-04T06:01:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "monic polynomial",
      "residue classes distribution",
      "function field analogues",
      "prime factors",
      "selberg-delange method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}