{
  "id": "2010.09805",
  "version": "v1",
  "published": "2020-10-19T19:32:30.000Z",
  "updated": "2020-10-19T19:32:30.000Z",
  "title": "Number of points of certain Artin-Schreier curves",
  "authors": [
    "Jędrzej Garnek"
  ],
  "comment": "6 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We prove a conjecture of Johansen, Helleseth and Kholosha concerning equality of exponential sums related to the cross-correlation of $m$-sequences. In the proof we show that certain Artin-Schreier curves have the same number of points over finite fields. This has a consequence regarding the L-polynomials of these curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-19T19:32:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G20",
      "11T06"
    ],
    "keywords": [
      "artin-schreier curves",
      "kholosha concerning equality",
      "exponential sums",
      "finite fields",
      "l-polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}