English

On the Linear Independence of Roots

Number Theory 2011-11-09 v2

Abstract

A set of real nnth roots that is pairwise linearly independent over the rationals must also be linearly independent. We show how this result may be extended to more general fields.

Keywords

Cite

@article{arxiv.math/0703522,
  title  = {On the Linear Independence of Roots},
  author = {Richard Carr and Cormac O'Sullivan},
  journal= {arXiv preprint arXiv:math/0703522},
  year   = {2011}
}

Comments

8 pages. Edited, clarified with one further application

R2 v1 2026-07-22T17:52:50.600Z