Do flat skew-reciprocal Littlewood polynomials exist?

DOI10.1007/s00365-022-09575-4OpenAlexW3041427558MaRDI QIDQ2108087

Tamás Erdélyi

Publication date: 19 December 2022

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.08151

zbMATH Keywords

flat Littlewood polynomials existskew-reciprocal

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials in real and complex fields: factorization (12D05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Real polynomials: location of zeros (26C10)

Cites Work

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• The Mahler measure of the Rudin-Shapiro polynomials
• Computational excursions in analysis and number theory
• Roth's estimate of the discrepancy of integer sequences is nearly sharp
• Flat Littlewood polynomials exist
• The asymptotic value of the Mahler measure of the Rudin-Shapiro polynomials
• Unimodular Roots of Special Littlewood Polynomials
• Constructive Discrepancy Minimization by Walking on the Edges
• Six Standard Deviations Suffice
• Flat Polynomials on the unit Circle-Note on a Problem of Littlewood
• ON THE OSCILLATION OF THE MODULUS OF THE RUDIN–SHAPIRO POLYNOMIALS ON THE UNIT CIRCLE
• Champernowne’s Number, Strong Normality, and the X Chromosome
• Improved results on the oscillation of the modulus of the Rudin-Shapiro polynomials on the unit circle
• On the zeros of polynomials with Littlewood-type coefficient constraints

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