符号法则、牛顿多边形与超域上的多项式
数论
2022-07-01 v4 交换代数
摘要
我们发展了超域上多项式根的重数理论，并借此对笛卡尔符号法则与牛顿“多边形法则”给出了统一且概念性的证明。
引用
@article{arxiv.1811.04966,
title = {Descartes' rule of signs, Newton polygons, and polynomials over hyperfields},
author = {Matthew Baker and Oliver Lorscheid},
journal= {arXiv preprint arXiv:1811.04966},
year = {2022}
}
备注
21 pages. v2: Revised the exposition and organization of the paper, corrected some minor typos. v3: Revised according to referee report, added new references. v4: Corrected a typo pointed out by Micha\"el Bensimhoun