Lower bounds for the absolute value of random polynomials on a neighborhood of the unit circle

DOI10.1090/S0002-9947-99-02241-2zbMath0949.42006OpenAlexW1513341548MaRDI QIDQ4269100

Wilhelm Schlag, Sergei V. Konyagin

Publication date: 31 October 1999

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02241-2

zbMATH Keywords

random trigonometric polynomials

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Probabilistic methods for one variable harmonic analysis (42A61)

Related Items (12)

The minimum modulus of Gaussian trigonometric polynomials ⋮ On The Properties Of Random Entire Functions ⋮ Salem-Zygmund inequality for locally sub-Gaussian random variables, random trigonometric polynomials, and random circulant matrices ⋮ Zero-free neighborhoods around the unit circle for Kac polynomials ⋮ Random trigonometric polynomials: universality and non-universality of the variance for the number of real roots ⋮ Sergei Vladimirovich Konyagin turns 60 ⋮ Universality of the minimum modulus for random trigonometric polynomials ⋮ Topics in the numerical linear algebra of Toeplitz and Hankel matrices ⋮ Structured condition numbers of large Toeplitz matrices are rarely better than usual condition numbers ⋮ Average Mahler’s measure and 𝐿_{𝑝} norms of Littlewood polynomials ⋮ The values of stochastic polynomials in a neighborhood of the unit circle ⋮ Approximately half of the roots of a random Littlewood polynomial are inside the disk

Cites Work

• Minimum of the absolute value of random trigonometric polynomials with coefficients \(\pm 1\)
• The Complex Zeros of Random Polynomials
• On Polynomials ∑±nzm,∑eαminzm,z=e0i
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