English

A note on the first cuboid conjecture

Number Theory 2011-09-13 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1109.2534,
  title  = {A note on the first cuboid conjecture},
  author = {Ruslan Sharipov},
  journal= {arXiv preprint arXiv:1109.2534},
  year   = {2011}
}

Comments

AmSTeX, 6 pages, amsppt style

R2 v1 2026-06-21T19:03:35.520Z