Counting zeros of cosine polynomials: on a problem of Littlewood
From MaRDI portal
Publication:1711919
DOI10.1016/j.aim.2018.11.025zbMath1404.42003arXiv1610.07680OpenAlexW2963752298MaRDI QIDQ1711919
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
exponential sumszeros of polynomialspolynomialstrigonometric polynomialsFourier seriesLittlewoodreciprocal polynomials
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
Cites Work
- Unnamed Item
- Unnamed Item
- Hardy's inequality and the \(L^ 1\) norm of exponential sums
- Zeros of polynomials with \(0, 1\) coefficients
- On the zeros of polynomials with restricted coefficients
- On the zeros of cosine polynomials: solution to a problem of Littlewood
- Littlewood Pisot numbers
- Approximate formulas for some functions of prime numbers
- On the distribution of roots of polynomials
- On the number of real roots of random polynomials
- The number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set
- On the Number of Real Roots of a Random Algebraic Equation
- On a Conjecture of Littlewood and Idempotent Measures
- UNIMODULAR ROOTS OF RECIPROCAL LITTLEWOOD POLYNOMIALS
- Polynomials with coefficients from a finite set
- On the Mean Values of Certain Trigonometrical Polynomials
- A lower bound for the L 1 norm of exponential sums
- On a problem of Byrnes concerning polynomials with restricted coefficients
- ON A PROBLEM OF LITTLEWOOD
- On Littlewood Polynomials with Prescribed Number of Zeros Inside the Unit Disk
- Lower bounds for the number of zeros of cosine polynomials in the period: a problem of Littlewood
- THE DISTRIBUTION OF ROOTS OF A POLYNOMIAL
- On the Real Roots of Real Trigonometrical Polynomials (II)
- On Polynomials ∑±nzm,∑eαminzm,z=e0i
- On a theorem of P. J. Cohen
- On the Average Number of Real Roots of a Random Algebraic Equation (II)
- On the average number of real roots of a random algebraic equation
- On a Problem of Littlewood
- On the zeros of polynomials with Littlewood-type coefficient constraints
This page was built for publication: Counting zeros of cosine polynomials: on a problem of Littlewood