%0 Journal Article %T About the Diophantine Equation $x^{4}-q^{4}=py^{r}$ %A Diana Savin %J Mathematics %D 2009 %I arXiv %X In this paper, we prove a theorem about the integer solutions to the Diophantine equation $x^{4}-q^{4}=py^{r}$, extending previous work of K.Gy\H ory, and F.Luca and A.Togbe, and of the author. %U http://arxiv.org/abs/0907.0771v1