English

On rational points of orthogonal group

Number Theory 2014-09-18 v1

Abstract

Let nn be a positive integer. We show that a unit rational space vector whose multiple by nn is an integer vector can be extended to a rational orthonormal basis whose all members have the same property.

Keywords

Cite

@article{arxiv.1409.5010,
  title  = {On rational points of orthogonal group},
  author = {Masanori Kobayashi and Chikara Nakayama},
  journal= {arXiv preprint arXiv:1409.5010},
  year   = {2014}
}
R2 v1 2026-06-22T05:58:55.391Z