Sieve-Type Lower Bounds for the Mahler Measure of Polynomials on Subarcs

被引：8

作者：

Erdelyi, Tamas ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

COMPUTATIONAL METHODS AND FUNCTION THEORY | 2011年 / 11卷 / 01期

关键词：

Large sieve inequalities; Mahler measure; constrained coefficients; Fekete polynomials; Littlewood polynomials; RESTRICTED COEFFICIENTS; INEQUALITIES; ZEROS;

D O I：

10.1007/BF03321798

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove sieve-type lower bounds for the Mahler measure of polynomials on sub arcs of the unit circle of the complex plane. This is then applied to give an essentially sharp lower bound for the Mahler measure of the Fekete polynomials on subarcs.

引用

页码：213 / 228

页数：16

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