{
  "id": "1902.03734",
  "version": "v1",
  "published": "2019-02-11T05:23:11.000Z",
  "updated": "2019-02-11T05:23:11.000Z",
  "title": "On the Diophantine equations f (x) = g(y)",
  "authors": [
    "S. Subburam",
    "J. Tanti"
  ],
  "comment": "Integer solutions",
  "categories": [
    "math.NT"
  ],
  "abstract": "The study of finiteness or infiniteness of integer solutions of a Diophantine equation has been considered as a standard problem in the literature. In this paper, for f(x) in Z[x] monic and q1 ,...., qm in Z, we study the conditions for which the Diophantine equatio (y + q1 )(y + q2 ) .... (y + qm ) = f(x) has finitely many solutions in integers. Also assuming ABC Conjecture, we study the conditions for finiteness of integer solutions of the Diophantine equation f(x) = g(y).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-11T05:23:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D41",
      "11D45",
      "11D25",
      "F.2.2",
      "I.2.7"
    ],
    "keywords": [
      "diophantine equation",
      "integer solutions",
      "conditions",
      "assuming abc conjecture",
      "standard problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}