The expected $L_{p}$ norm of random polynomials

DOI10.1090/S0002-9939-00-05690-2zbMath0999.30004MaRDI QIDQ2701644

Richard A. Lockhart, Peter B. Borwein

Publication date: 19 February 2001

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

zbMATH Keywords

random polynomialsLittlewood polynomialsexpected \(L_p\) norm

Mathematics Subject Classification ID

Stochastic processes (60G99) Trigonometric polynomials, inequalities, extremal problems (42A05) Random power series in one complex variable (30B20)

Related Items (18)

Improved lower bound for the Mahler measure of the Fekete polynomials ⋮ The Mahler measure of the Rudin-Shapiro polynomials ⋮ On the law of the iterated logarithm for trigonometric series with bounded gaps. II ⋮ Expected discrepancy for zeros of random algebraic polynomials ⋮ Littlewood polynomials with small \(L^4\) norm ⋮ Moments of polynomials with random multiplicative coefficients ⋮ 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 ⋮ Random Bernstein-Markov factors ⋮ Flatness of conjugate reciprocal unimodular polynomials ⋮ Explicit merit factor formulae for Fekete and Turyn polynomials ⋮ The radii of sections of origin-symmetric convex bodies and their applications ⋮ On a problem of Bourgain concerning the \(L_p\) norms of exponential sums ⋮ Rudin-Shapiro-like polynomials in $L_{4}$ ⋮ Average Mahler’s measure and 𝐿_{𝑝} norms of Littlewood polynomials ⋮ The average norm of polynomials of fixed height ⋮ Sums of monomials with large Mahler measure

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