Real zeros of random trigonometric polynomials with $\ell$-periodic coefficients
From MaRDI portal
Publication:6146782
DOI10.4064/cm8754-5-2023arXiv2110.15942MaRDI QIDQ6146782
Publication date: 31 January 2024
Published in: Colloquium Mathematicum (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.15942
periodic coefficientsrandom trigonometric polynomialsdependent coefficientsexpected number of real zeros
Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10) Trigonometric polynomials, inequalities, extremal problems (42A05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the average number of real zeros of a random trigonometric polynomial with dependent coefficients. II
- Real zeros of random cosine polynomials with palindromic blocks of coefficients
- Expected number of real roots of random trigonometric polynomials
- Real zeros of three different cases of polynomials with random coefficients
- New asymptotics for the mean number of zeros of random trigonometric polynomials with strongly dependent Gaussian coefficients
- Real zeros of random trigonometric polynomials with pairwise equal blocks of coefficients
- Concerning rates of convergence of Riemann sums
- An upper bound for the expected number of real zeros of a random polynomial
- Expected number of real zeros for random linear combinations of orthogonal polynomials
- On the number of real roots of random polynomials
- Mean Number of Real Zeros of a Random Trigonometric Polynomial
- On the Number of Real Zeros of a Random Trigonometric Polynomial
- How many zeros of a random polynomial are real?
- On the Expected Number of Real Zeros of Random Polynomials I. Coefficients with Zero Means
- On the Expected Number of Real Zeros of Random Polynomials. II. Coefficients With Non-Zero Means
- On the Roots of Certain Algebraic Equations
- On the real zeros of random trigonometric polynomials with dependent coefficients
- Real zeros of random trigonometric polynomials with dependent coefficients
- The Number of Real Zeros of a Random Trigonometric Polynomial
- On the Number of Zeros of a Stationary Gaussian Random Trigonometric Polynomial
- On the Number of Real Roots of a Random Algebraic Equation
- On the average number of real roots of a random algebraic equation
- Mathematical Analysis of Random Noise
This page was built for publication: Real zeros of random trigonometric polynomials with $\ell$-periodic coefficients