The asymptotic distance between an ultraflat unimodular polynomial and its conjugate reciprocal

DOI10.1090/tran/8313zbMath1476.30030arXiv1810.04287OpenAlexW3099189695MaRDI QIDQ5857737

Tamás Erdélyi

Publication date: 7 April 2021

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

Full work available at URL: https://arxiv.org/abs/1810.04287

zbMATH Keywords

polynomialsangular speedrestricted coefficientsconjugate polynomialsultraflat sequences of unimodular polynomials

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Cites Work

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• Littlewood polynomials with small \(L^4\) norm
• Computational excursions in analysis and number theory
• Some unsolved problems
• On Kahane's ultraflat polynomials
• On Bernstein's inequality and Kahane's ultraflat polynomials
• On the real part of ultraflat sequences of unimodular polynomials: Consequences implied by the resolution of the phase problem
• Littlewood polynomials
• Merit Factors of Polynomials Formed by Jacobi Symbols
• Explicit merit factor formulae for Fekete and Turyn polynomials
• Proof of Saffari's near-orthogonality conjecture for ultraflat sequences of unimodular polynomials
• On the derivatives of unimodular polynomials
• On a Polynomial of Byrnes
• Sur Les Polynomes a Coefficients Unimodulaires
• Flat Polynomials on the unit Circle-Note on a Problem of Littlewood
• Merit Factors of Character Polynomials
• The resolution of Saffari's phase problem
• Search for Ultraflat Polynomials with Plus and Minus One Coefficients
• Rudin-Shapiro-like polynomials in $L_{4}$
• On Polynomials ∑±nzm,∑eαminzm,z=e0i
• How far is an ultraflat sequence of unimodular polynomials from being conjugate-reciprocal?

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