Lower bounds for the number of zeros of cosine polynomials in the period: a problem of Littlewood

DOI10.4064/aa128-4-5zbMath1124.41009OpenAlexW2030840037MaRDI QIDQ5310171

Peter B. Borwein, Tamás Erdélyi

Publication date: 20 September 2007

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa128-4-5

zbMATH Keywords

number of real zerosconstrained coefficientscosine polynomialsa problem of Littlewood

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

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Improved results on the oscillation of the modulus of the Rudin-Shapiro polynomials on the unit circle ⋮ Pseudo-Boolean functions and the multiplicity of the zeros of polynomials ⋮ ON THE OSCILLATION OF THE MODULUS OF THE RUDIN–SHAPIRO POLYNOMIALS ON THE UNIT CIRCLE ⋮ Counting zeros of cosine polynomials: on a problem of Littlewood ⋮ Recent Progress in the Study of Polynomials with Constrained Coefficients ⋮ On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk ⋮ On the Multiplicity of the Zeros of Polynomials with Constrained Coefficients ⋮ George Lorentz and inequalities in approximation ⋮ Cosine polynomials with few zeros

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