A note on the first cuboid conjecture

Details A note on the first cuboid conjecture A note on the first cuboid conjecture

2011-09-12

arxiv.org/abs/1109.2534v1

Mathematics

Number Theory

AmSTeX, 6 pages, amsppt style

Scientific paper

Recently the problem of constructing a perfect Euler cuboid was related with three conjectures asserting the irreducibility of some certain three polynomials depending on integer parameters. In this paper a partial result toward proving the first cuboid conjecture is obtained. The polynomial which, according to this conjecture, should be irreducible over integers is proved to have no integer roots.

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