About the Diophantine Equation $x^{4}-q^{4}=py^{r}$

Details About the Diophantine Equation $x^{4}-q^{4}=py^{r}$ About the Diophantine Equation $x^{4}-q^{4}=py^{r}$

2009-07-06

arxiv.org/abs/0907.0771v1

Mathematics

Number Theory

12 pages, Preliminary version

Scientific paper

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.

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