The L 4 Norm of a Polynomial with Coefficients ± 1
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Publication:5754018
DOI10.2307/2324003zbMath0722.11018OpenAlexW2061525442MaRDI QIDQ5754018
J. S. Byrnes, Donald J. Newman
Publication date: 1990
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2324003
Erdős conjecturetrigonometric polynomialShapiro polynomials\(L^ 4\)-normmodulus of polynomials on the unit circle
Special sequences and polynomials (11B83) Polynomials and rational functions of one complex variable (30C10) Trigonometric polynomials, inequalities, extremal problems (42A05)
Related Items (8)
Littlewood polynomials with small \(L^4\) norm ⋮ On maximal autocorrelations of Rudin-Shapiro sequences ⋮ Sequences with small correlation ⋮ The expected $L_{p}$ norm of random polynomials ⋮ Explicit merit factor formulae for Fekete and Turyn polynomials ⋮ Markov-Bernstein type inequalities under Littlewood-type coefficient constraints ⋮ Rudin-Shapiro-like polynomials in $L_{4}$ ⋮ The average norm of polynomials of fixed height
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