Average Mahler’s measure and 𝐿_{𝑝} norms of Littlewood polynomials

DOI10.1090/S2330-1511-2014-00013-4zbMath1338.11041OpenAlexW2021766767MaRDI QIDQ2814366

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Publication date: 21 June 2016

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s2330-1511-2014-00013-4

zbMATH Keywords

unimodular polynomialMahler's problemLittlewood polynomialmean \(L_p\) normmean Mahler's measure

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Stochastic processes (60G99) Polynomials and rational functions of one complex variable (30C10) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (7)

Improved lower bound for the Mahler measure of the Fekete polynomials ⋮ The Mahler measure of the Rudin-Shapiro polynomials ⋮ ON THE OSCILLATION OF THE MODULUS OF THE RUDIN–SHAPIRO POLYNOMIALS ON THE UNIT CIRCLE ⋮ The asymptotic value of the Mahler measure of the Rudin-Shapiro polynomials ⋮ Recent Progress in the Study of Polynomials with Constrained Coefficients ⋮ Flatness of conjugate reciprocal unimodular polynomials ⋮ Approximately half of the roots of a random Littlewood polynomial are inside the disk

Cites Work

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• Large Sieve Inequalities via Subharmonic Methods and the Mahler Measure of the Fekete Polynomials
• Sur Les Polynomes a Coefficients Unimodulaires
• Lower bounds for the absolute value of random polynomials on a neighborhood of the unit circle
• The Expected value of the Integral around the Unit Circle of a Certain Class of Polynomials

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