Multiplicity of zeros of polynomials

被引：1

作者：

Totik, Vilmos ^{[1
]}

机构：

[1] Univ Szeged, Bolyai Inst, MTA SZTE Anal & Stochast Res Grp, Aradi V Tere 1, H-6720 Szeged, Hungary

来源：

JOURNAL OF APPROXIMATION THEORY | 2021年 / 267卷

关键词：

Multiplicity of zeros; Polynomials; Potential theory;

D O I：

10.1016/j.jat.2021.105594

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sharp bounds are given for the highest multiplicity of zeros of polynomials in terms of their norm on Jordan curves and arcs. The results extend a theorem of Erdos and Turan and solve a problem of them from 1940. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：19

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