Polynomials with coefficients from a finite set

DOI10.1090/S0002-9947-08-04605-9zbMath1158.30002MaRDI QIDQ3533827

Friedrich Littmann, Tamás Erdélyi, Peter B. Borwein

Publication date: 24 October 2008

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

zbMATH Keywords

zerosrational functionsLittlewood polynomialsDuffin-Schaeffer theorem

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Related Items (19)

Power series with coefficients from a finite set ⋮ Improved results on the oscillation of the modulus of the Rudin-Shapiro polynomials on the unit circle ⋮ Algebraic Number Starscapes ⋮ Rational-transcendental dichotomy of power series with a restriction on coefficients ⋮ Expected discrepancy for zeros of random algebraic polynomials ⋮ Pseudo-Boolean functions and the multiplicity of the zeros of polynomials ⋮ A characterization of Thurston’s Master Teapot ⋮ ON THE OSCILLATION OF THE MODULUS OF THE RUDIN–SHAPIRO POLYNOMIALS ON THE UNIT CIRCLE ⋮ Counting zeros of cosine polynomials: on a problem of Littlewood ⋮ The shape of Thurston's master teapot ⋮ Recent Progress in the Study of Polynomials with Constrained Coefficients ⋮ On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk ⋮ On the Multiplicity of the Zeros of Polynomials with Constrained Coefficients ⋮ Root sets of polynomials and power series with finite choices of coefficients ⋮ On the Weyl-Heisenberg frames generated by simple functions ⋮ George Lorentz and inequalities in approximation ⋮ Transcendence of power series for some number theoretic functions ⋮ A note on bounded exponential sums ⋮ TRANSCENDENCE OVER MEROMORPHIC FUNCTIONS

Cites Work

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• Computational excursions in analysis and number theory
• Zeros of polynomials with \(0, 1\) coefficients
• Zeros of Fekete polynomials
• Approximation by polynomials with coefficients \(\pm 1\).
• On the distribution of roots of polynomials
• Littlewood-type problems on subarcs of the unit circle
• Sur une question de Pichorides
• Power Series with Bounded Coefficients
• On the zeros of polynomials with Littlewood-type coefficient constraints

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