{
  "id": "1506.02098",
  "version": "v1",
  "published": "2015-06-06T01:25:52.000Z",
  "updated": "2015-06-06T01:25:52.000Z",
  "title": "Elementary Proof of Lehmer's Conjecture on Non-vanishing of Tau Function",
  "authors": [
    "Will Y. Lee"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1406.3607",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we prove Lehmer's conjecture on Ramanujan's tau function, namely tau(n) not equal to zero for n >= 1 by investigating the additive group structure attached to tau(n) with the aid of the pigeonhole principle and unique factorization theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-06T01:25:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lehmers conjecture",
      "elementary proof",
      "ramanujans tau function",
      "unique factorization theorem",
      "non-vanishing"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150602098L"
    }
  }
}