A note on the second cuboid conjecture. Part I
Number Theory
2012-01-06 v1
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.
Cite
@article{arxiv.1201.1229,
title = {A note on the second cuboid conjecture. Part I},
author = {Ruslan Sharipov},
journal= {arXiv preprint arXiv:1201.1229},
year = {2012}
}
Comments
AmSTeX, 10 pages, amsppt style