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
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
Journal title :
Journal of Number Theory
