The number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set

DOI10.4064/aa8442-7-2016zbMath1402.11044arXiv1602.02284OpenAlexW2964076591MaRDI QIDQ2833613

Tamás Erdélyi

Publication date: 18 November 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.02284

zbMATH Keywords

trigonometric polynomialsself-reciprocal polynomialsrestricted coefficientsnumber of zeros on the unit circleconrey's questionnumber of real zeros in a period

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) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Real polynomials: location of zeros (26C10) Special sequences and polynomials (11B83)

Related Items (7)

Improved results on the oscillation of the modulus of the Rudin-Shapiro polynomials on the unit circle ⋮ ON THE OSCILLATION OF THE MODULUS OF THE RUDIN–SHAPIRO POLYNOMIALS ON THE UNIT CIRCLE ⋮ On zeros of sums of cosines ⋮ Counting zeros of cosine polynomials: on a problem of Littlewood ⋮ 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 ⋮ Cosine polynomials with few zeros

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