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arXiv · 1810.06817

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

Sanjay Bhatter·Richa Sharma
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Abstract

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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Sanjay Bhatter, Richa Sharma. 2018-11-04. On the Diophantine equation $f(x)=2f(y)$. https://arxiv.org/abs/1810.06817

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