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arxiv: 0907.0771 · v1 · submitted 2009-07-06 · 🧮 math.NT

About the Diophantine Equation x⁴-q⁴=py^(r)

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keywords diophantineequationauthorextendingintegerlucapreviousprove
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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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