arxiv: 1810.06817 · v2 · pith:67T5ATN2new · submitted 2018-10-16 · 🧮 math.NT

On the Diophantine equation f(x)=2f(y)

Sanjay Bhatter , Richa Sharma This is my paper

classification 🧮 math.NT

keywords diophantineequationexceptintegerspositiveprovesolutions

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Let $f(x)=x^{2}(x^{2}-1)(x^{2}-2)(x^{2}-3).$ We prove that the Diophantine equation $ f(x)=2f(y)$ has no solutions in positive integers $x$ and $y$, except $(x, y)=(1, 1)$.

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On the Diophantine equation f(x)=2f(y)

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