A note on the second cuboid conjecture. Part I

Ruslan Sharipov

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arXiv · 1201.1229

A note on the second cuboid conjecture. Part I

Ruslan Sharipov

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Abstract

The problem of finding perfect Euler cuboids or proving their non-existence is an old unsolved problem in mathematics. The second cuboid conjecture is one of the three propositions suggested as intermediate stages in proving the non-existence of perfect Euler cuboids. It is associated with a certain polynomial Diophantine equation of the order 10. In this paper a structural theorem for the solutions of this Diophantine equation is proved and some examples of its application are considered.

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Ruslan Sharipov. 2012-01-05. A note on the second cuboid conjecture. Part I. https://arxiv.org/abs/1201.1229

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