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

共 50 条

[1] Sieve-Type Lower Bounds for the Mahler Measure of Polynomials on Subarcs
Tamás Erdélyi
Computational Methods and Function Theory, 2011, 11 : 213 - 228
[2] LOWER BOUNDS FOR MAHLER-TYPE MEASURES OF POLYNOMIALS
Dubickas, Arturas
Pritsker, Igor
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (09) : 3673 - 3680
[3] MAHLER MEASURE FOR POLYNOMIALS AND BOUNDS FROM CONVEXITY
LELONG, P
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1992, 315 (02): : 139 - 142
[4] Improved Lower Bound for the Mahler Measure of the Fekete Polynomials
Tamás Erdélyi
Constructive Approximation, 2018, 48 : 283 - 299
[5] Improved Lower Bound for the Mahler Measure of the Fekete Polynomials
Erdelyi, Tamas
CONSTRUCTIVE APPROXIMATION, 2018, 48 (02) : 283 - 299
[6] LOWER BOUNDS FOR THE MAHLER MEASURE AND INERTIA DEGREES OF PRIMES
Laishram, Shanta
Prasad, Gorekh
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2024,
[7] Lower bounds for Mahler measure that depend on the number of monomials
Akhtari, Shabnam
Vaaler, Jeffrey D.
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2019, 15 (07) : 1425 - 1436
[8] Upper bounds for the Lq norm of Fekete polynomials on subarcs
Erdelyi, Tamas
ACTA ARITHMETICA, 2012, 153 (01) : 81 - 91
[9] Large sieve inequalities via subharmonic methods and the Mahler measure of the Fekete polynomials
Erdelyi, T.
Lubinsky, D. S.
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2007, 59 (04): : 730 - 741
[10] SCHINZEL-TYPE BOUNDS FOR THE MAHLER MEASURE ON LEMNISCATES
Looney, Ryan
Pritsker, Igor
MATHEMATICS OF COMPUTATION, 2025, 94 (352) : 919 - 933

← 1 2 3 4 5 →