Counting zeros of cosine polynomials: on a problem of Littlewood

DOI10.1016/j.aim.2018.11.025zbMath1404.42003arXiv1610.07680OpenAlexW2963752298MaRDI QIDQ1711919

Julian Sahasrabudhe

Publication date: 18 January 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.07680

zbMATH Keywords

exponential sumszeros of polynomialspolynomialstrigonometric polynomialsFourier seriesLittlewoodreciprocal polynomials

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (4)

On zeros of sums of cosines ⋮ 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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