A note on the third cuboid conjecture. Part I

Details A note on the third cuboid conjecture. Part I A note on the third cuboid conjecture. Part I

2012-03-12

arxiv.org/abs/1203.2567v1

Mathematics

Number Theory

AmSTeX, 34 pages, amsppt style

Scientific paper

The problem of finding perfect Euler cuboids or proving their non-existence is an old unsolved problem in mathematics. The third cuboid conjecture is the last of the three propositions suggested as intermediate stages in proving the non-existence of perfect Euler cuboids. It is associated with a certain Diophantine equation of the order 12. In this paper a structural theorem for the solutions of this Diophantine equation is proved.

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