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.
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页码：165 / 190
页数：26
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