English

Real Univariate Quintics

Commutative Algebra 2019-01-14 v1 Algebraic Geometry

Abstract

For the general monic quintic with real coefficients, polynomial conditions on the coefficients are derived as directly and as simply as possible from the Sturm sequence that will determine the real and complex root multiplicities together with the order of the real roots with respect to multiplicity.

Keywords

Cite

@article{arxiv.1901.03679,
  title  = {Real Univariate Quintics},
  author = {Elias Gonzalez and David A. Weinberg},
  journal= {arXiv preprint arXiv:1901.03679},
  year   = {2019}
}

Comments

20 pages

R2 v1 2026-06-23T07:09:18.290Z