English

On the theorem of Rubinstein

Complex Variables 2020-03-10 v1 Classical Analysis and ODEs

Abstract

We study distribution of zeros of a complex polynomial whose coefficients has been modified. We give a new proof of the theorem of Rubinstein, and with similar method we prove a new theorem that is not generalization of the previous theorem, but is more efficient in the most number of cases.

Keywords

Cite

@article{arxiv.2003.03652,
  title  = {On the theorem of Rubinstein},
  author = {Radosh Bakich},
  journal= {arXiv preprint arXiv:2003.03652},
  year   = {2020}
}
R2 v1 2026-06-23T14:07:36.943Z