{
  "id": "1407.6499",
  "version": "v1",
  "published": "2014-07-24T09:02:32.000Z",
  "updated": "2014-07-24T09:02:32.000Z",
  "title": "A Hasse-type principle for exponential diophantine equations and its applications",
  "authors": [
    "Cs. Bertok",
    "L. Hajdu"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We propose a conjecture, similar to Skolem's conjecture, on a Hasse-type principle for exponential diophantine equations. We prove that in a sense the principle is valid for \"almost all\" equations. Based upon this we propose a general method for the solution of exponential diophantine equations. Using a generalization of a result of Erd\\H{o}s, Pomerance and Schmutz concerning Carmichael's $\\lambda$ function, we can make our search systematic for certain moduli needed in the method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-24T09:02:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exponential diophantine equations",
      "hasse-type principle",
      "applications",
      "skolems conjecture",
      "general method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.6499B"
    }
  }
}