{
  "id": "2207.12806",
  "version": "v1",
  "published": "2022-07-26T11:00:07.000Z",
  "updated": "2022-07-26T11:00:07.000Z",
  "title": "A New Proof For The Transformation Laws of Theta Functions",
  "authors": [
    "Maher Me'meh",
    "Ali Saraeb"
  ],
  "comment": "the paper is 12 pages long with no figures or whatsoever",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove the transformation laws of the four Jacobi theta functions using Gordon's proof for the transformation law of the Dedekind eta function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-26T11:00:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "transformation law",
      "jacobi theta functions",
      "dedekind eta function",
      "gordons proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}