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arXiv · 1108.5348

Perfect cuboids and irreducible polynomials

Ruslan Sharipov
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Abstract

The problem of constructing a perfect cuboid is related to a certain class of univariate polynomials with three integer parameters $a$, $b$, and $u$. Their irreducibility over the ring of integers under certain restrictions for $a$, $b$, and $u$ would mean the non-existence of perfect cuboids. This irreducibility is conjectured and then verified numerically for approximately 10000 instances of $a$, $b$, and $u$.

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Ruslan Sharipov. 2011-08-26. Perfect cuboids and irreducible polynomials. https://arxiv.org/abs/1108.5348

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