Continuity of the roots of a polynomial
Rings and Algebras
2024-09-26 v3
Abstract
Let be an algebraically closed field with an absolute value. This note gives an elementary proof of the classical result that the roots of a polynomial with coefficients in are continuous functions of the coefficients of the polynomial.
Cite
@article{arxiv.2206.13013,
title = {Continuity of the roots of a polynomial},
author = {Melvyn B. Nathanson and David A. Ross},
journal= {arXiv preprint arXiv:2206.13013},
year = {2024}
}
Comments
10 pages; minor improvements