On the relations between the zeros of a polynomial and its Mahler measure

被引：0

作者：

Ounaies, M. ^{[1
]}

Rhin, G. ^{[2
]}

Sac-Epee, J-M ^{[2
]}

机构：

[1] IRMA, Paris, France

[2] IECL, Villers Les Nancy, France

来源：

JOURNAL OF NUMBER THEORY | 2021年 / 224卷

关键词：

Mahler measure; Integer polynomials; RECIPROCAL POLYNOMIALS; ALGEBRAIC-NUMBERS;

D O I：

10.1016/j.jnt.2021.01.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we are dealing with some properties relating the zeros of a polynomial and its Mahler measure. We provide estimates on the number of real zeros of a polynomial, lower bounds on the distance between the zeros of a polynomial and non-zeros located on the unit circle and a lower bound on the number of zeros of a polynomial in the disk {|x - 1| < 1}. (c) 2021 Elsevier Inc. All rights reserved.

引用

页码：165 / 190

页数：26

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