Cosine polynomials with few zeros

DOI10.1112/blms.12468zbMath1471.42002arXiv2005.01695OpenAlexW3127615163MaRDI QIDQ5006398

Tomas Juškevičius, Julian Sahasrabudhe

Publication date: 13 August 2021

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.01695

zbMATH Keywords

random polynomialslower bounds on the minimum number of zeros

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) Stochastic processes (60G99) Trigonometric and exponential sums (general theory) (11L03) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

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• On the distribution of the roots of polynomials
• On the mean values of certain trigonometrical polynomials. II
• On the distribution of simple zeros of polynomials
• Counting zeros of cosine polynomials: on a problem of Littlewood
• Questions about polynomials with \(\{ 0,-1,+1\}\) coefficients: Research problems 96-3
• A multivariate Berry-Esseen theorem with explicit constants
• On the zeros of cosine polynomials: solution to a problem of Littlewood
• An improvement of the Erdős-Turán theorem on the distribution of zeros of polynomials
• On the distribution of zeros and a-values of a random integral function. II
• On the distribution of roots of polynomials
• The number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set
• On the Mean Values of Certain Trigonometrical Polynomials
• Estimates for the concentration function of combinatorial number theory and probability
• On a problem of Byrnes concerning polynomials with restricted coefficients
• ROOTS OF TRIGONOMETRIC POLYNOMIALS AND THE ERDŐS–TURÁN THEOREM
• Improved lower bound for the number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set
• Lower bounds for the number of zeros of cosine polynomials in the period: a problem of Littlewood
• On the Real Roots of Real Trigonometrical Polynomials (II)
• The Real Zeros and Value Distributions of Real Trigonometrical Polynomials
• On Polynomials ∑±nzm,∑eαminzm,z=e0i
• A New Proof of a Theorem on Rearrangements
• On the Distribution of the Zeros and α-Values of a Random Integral Function (I)

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