Explicit merit factor formulae for Fekete and Turyn polynomials

DOI10.1090/S0002-9947-01-02859-8zbMath1010.11017MaRDI QIDQ2750951

Kwok-Kwong Stephen Choi, Peter B. Borwein

Publication date: 21 October 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

class numberLittlewood polynomialsFekete polynomialsmerit factorTuryn polynomials\((-1,1)\)-coefficients

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Small fractional parts of polynomials and generalizations (11J54)

Related Items (11)

Improved lower bound for the Mahler measure of the Fekete polynomials ⋮ The Mahler measure of the Rudin-Shapiro polynomials ⋮ Littlewood polynomials with small \(L^4\) norm ⋮ Moments of polynomials with random multiplicative coefficients ⋮ Recent Progress in the Study of Polynomials with Constrained Coefficients ⋮ Flatness of conjugate reciprocal unimodular polynomials ⋮ On the Littlewood cyclotomic polynomials ⋮ Fekete-like polynomials ⋮ The average norm of polynomials of fixed height ⋮ The asymptotic distance between an ultraflat unimodular polynomial and its conjugate reciprocal ⋮ An extremal property of Fekete polynomials

Cites Work

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• Sur Les Polynomes a Coefficients Unimodulaires
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• Sieves for low autocorrelation binary sequences
• An exponential polynomial formed with the Legendre symbol
• Exhaustive search for low-autocorrelation binary sequences
• Merit Factors of Character Polynomials
• Rudin-Shapiro-like polynomials in $L_{4}$
• The L 4 Norm of a Polynomial with Coefficients ± 1

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