{
  "id": "1702.08102",
  "version": "v1",
  "published": "2017-02-26T22:36:14.000Z",
  "updated": "2017-02-26T22:36:14.000Z",
  "title": "The Signs in Elliptic Nets",
  "authors": [
    "Amir Akbary",
    "Manoj Kumar",
    "Soroosh Yazdani"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We give a generalization of a theorem of Silverman and Stephens regarding the signs in an elliptic divisibility sequence to the case of an elliptic net. We also describe applications of this theorem in the study of the distribution of the signs in elliptic nets and generating elliptic nets using the denominators of the linear combination of points on elliptic curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-26T22:36:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G05",
      "11G07",
      "11B37"
    ],
    "keywords": [
      "elliptic divisibility sequence",
      "generating elliptic nets",
      "linear combination",
      "elliptic curves",
      "generalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}