English

Criteria for a split real polynomial

Combinatorics 2024-04-01 v1 Number Theory

Abstract

In this article, we establish necessary and sufficient conditions for a polynomial of degree nn to have exactly nn real roots. A complete study of polynomials of degree five is carried out. The results are compared with those obtained using Sturm sequences.

Keywords

Cite

@article{arxiv.2403.19692,
  title  = {Criteria for a split real polynomial},
  author = {Jean-Michel Billiot and Eric Fontenas},
  journal= {arXiv preprint arXiv:2403.19692},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:1902.00362

R2 v1 2026-06-28T15:37:32.550Z