{
  "id": "0809.4381",
  "version": "v2",
  "published": "2008-09-25T11:33:52.000Z",
  "updated": "2013-03-01T23:01:54.000Z",
  "title": "Representing an element in F_q[t] as the sum of two irreducibles",
  "authors": [
    "Andreas O. Bender"
  ],
  "comment": "16 pages. Major revision accepted for publication in Mathematika. This version is slightly different from the one to be published",
  "doi": "10.1112/S0025579313000065",
  "categories": [
    "math.NT"
  ],
  "abstract": "A monic polynomial in F_q[t] of degree n over a finite field F_q of odd characteristic can be written as the sum of two irreducible monic elements in F_q[t] of degrees n and n-1 if q is larger than a bound depending only on n. The main tool is a sufficient condition for simultaneous primality of two polynomials in one variable x with coefficients in F_q[t].",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-03-01T23:01:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11T55",
      "11R09"
    ],
    "keywords": [
      "monic polynomial",
      "sufficient condition",
      "finite field",
      "main tool",
      "odd characteristic"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.4381B"
    }
  }
}