{
  "id": "2112.03607",
  "version": "v3",
  "published": "2021-12-07T09:55:17.000Z",
  "updated": "2022-06-27T11:00:13.000Z",
  "title": "On divisors of sums of polynomials",
  "authors": [
    "László Mérai"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $\\mathcal{A}$ and $\\mathcal{B}$ be sets of polynomials of degree $n$ over a finite field. We show, that if $\\mathcal{A}$ and $\\mathcal{B}$ are large enough, then $A+B$ has an irreducible divisor of large degree for some $A\\in\\mathcal{A}$ and $B\\in \\mathcal{B}$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2022-06-27T11:00:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "polynomials",
      "large degree",
      "finite field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}