Proof of the conjecture of Keskin, Siar and Karaatli
  In this paper among other results, we will prove the conjecture of Keskin, Siar and Karaatli on the Diophantine equation $x^{2}-kxy+y^{2}-2^{n}=0$. 
Rachid Boumahdi, Omar Kihel and Sukrawan Mavecha
math.NT