Algebraic polynomials with symmetric random coefficients

DOI10.1216/RMJ-2014-44-2-521zbMath1296.60137OpenAlexW2009367560MaRDI QIDQ404494

Jianliang Gao, Kambiz Farahmand

Publication date: 4 September 2014

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1407154912

zbMATH Keywords

Kac-Rice formularandom trigonometric polynomialreal rootsnumber of real zerosrandom algebraic polynomials

Mathematics Subject Classification ID

Stochastic processes (60G99) Stochastic analysis (60H99)

Related Items (2)

On real zeros of self-similar random Gaussian polynomials with decreasing variances: apparition of a phase transition ⋮ Expected number of real zeros of Gaussian self-reciprocal random algebraic polynomials

Cites Work

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• Real zeros of three different cases of polynomials with random coefficients
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• On the Expected Number of Real Zeros of Random Polynomials. II. Coefficients With Non-Zero Means
• Random polynomials, random matrices andL-functions
• On the average number of real roots of a random algebraic equation
• Mathematical Analysis of Random Noise
• Random matrix theory and \(L\)-functions at \(s=1/2\).
• Random matrix theory and \(\zeta(1/2+it)\).

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