• Title of article

    A New Proof of a Conjecture of Antoniadis Original Research Article

  • Author/Authors

    Zhenfu Cao، نويسنده , , Shanzhi Mu، نويسنده , , Xiaolei Dong، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2000
  • Pages
    9
  • From page
    185
  • To page
    193
  • Abstract
    We give a new and elementary proof that the equation x3−1=31y2 has only the integral solutions (x, y)=(1, 0), (5, 2), (5, −2).
  • Keywords
    cubic Diophantine equation , recurrence sequence , Legendre Jacobisymbol.
  • Journal title
    Journal of Number Theory
  • Serial Year
    2000
  • Journal title
    Journal of Number Theory
  • Record number

    715093