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arXiv:1810.06817 [math.NT]AbstractReferencesReviewsResources

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

Sanjay Bhatter, Richa Sharma

Published 2018-10-16Version 1

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 $(x, y)=(1, 1)$.

Comments: 7 pages
Categories: math.NT
Subjects: 11D45, 11D41, 11D61
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