Flat Polynomials on the unit Circle-Note on a Problem of Littlewood

DOI10.1112/blms/23.3.269zbMath0748.30006OpenAlexW2093937867MaRDI QIDQ3988545

József Beck

Publication date: 28 June 1992

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/23.3.269

zbMATH Keywords

Rudin-Shapiro polynomialsflat polynomials

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Automata sequences (11B85) Polynomials and rational functions of one complex variable (30C10)

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Trigonometric polynomials with many real zeros and a Littlewood-type problem ⋮ On the distribution of Rudin-Shapiro polynomials and lacunary walks on \(\mathrm{SU}(2)\) ⋮ Littlewood polynomials with small \(L^4\) norm ⋮ On the Rudin-Shapiro transform ⋮ The expected $L_{p}$ norm of random polynomials ⋮ Flat Littlewood polynomials exist ⋮ Recent Progress in the Study of Polynomials with Constrained Coefficients ⋮ Flatness of conjugate reciprocal unimodular polynomials ⋮ On Nonnegative Cosine Polynomials with Nonnegative Integral Coefficients ⋮ Explicit merit factor formulae for Fekete and Turyn polynomials ⋮ Markov-Bernstein type inequalities under Littlewood-type coefficient constraints ⋮ Highly nonlinear functions ⋮ George Lorentz and inequalities in approximation ⋮ Rudin-Shapiro-like polynomials in $L_{4}$ ⋮ Highly nonlinear functions over finite fields ⋮ The asymptotic distance between an ultraflat unimodular polynomial and its conjugate reciprocal ⋮ Do flat skew-reciprocal Littlewood polynomials exist?

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