On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk
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Publication:5145100
DOI10.1090/mcom/3570zbMath1461.11141arXiv1910.13994OpenAlexW3036112747MaRDI QIDQ5145100
Jonas Jankauskas, Kevin G. Hare
Publication date: 20 January 2021
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.13994
Polynomials in number theory (11C08) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Special sequences and polynomials (11B83) Polynomials (irreducibility, etc.) (11R09) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Numerical computation of roots of polynomial equations (65H04)
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The digit exchanges in the rotational beta expansions of algebraic numbers ⋮ On polynomials with only rational roots ⋮ On the Multiplicity of the Zeros of Polynomials with Constrained Coefficients
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Cites Work
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- Littlewood polynomials with small \(L^4\) norm
- On the distribution of the roots of polynomials
- Computational excursions in analysis and number theory
- Fonctions méromorphes dans le cercle-unité et leurs séries de Taylor
- Extensions of the Bloch-Pólya theorem on the number of real zeros of polynomials
- Pisot numbers in the neighbourhood of a limit point. I
- Small Salem numbers
- Zeros of polynomials with \(0, 1\) coefficients
- On the zeros of polynomials with restricted coefficients
- Complex Pisot numbers of small modulus.
- Zeros of Fekete polynomials
- On an irreducibility theorem of A. Schinzel associated with coverings of the integers
- On the order of vanishing at 1 of a polynomial
- Counting zeros of cosine polynomials: on a problem of Littlewood
- Flat Littlewood polynomials exist
- On the zeros of cosine polynomials: solution to a problem of Littlewood
- Negative Pisot and Salem numbers as roots of Newman polynomials
- An improvement of the Erdős-Turán theorem on the distribution of zeros of polynomials
- Lehmer's problem for polynomials with odd coefficients
- Character sums in complex half-planes
- Littlewood Pisot numbers
- On the distribution of roots of polynomials
- Sequences of analytic functions and their zeros
- Power series with integral coefficients
- A remarkable class of algebraic integers. Proof of a conjecture of Vijayaraghavan
- The number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set
- The distance to an irreducible polynomial, II
- Newman Polynomials, Reducibility, and Roots on the Unit Circle
- On Newman polynomials which divide no Littlewood polynomial
- On the Number of Real Roots of a Random Algebraic Equation
- Norms of Polynomials
- The merit factor of Legendre sequences (Corresp.)
- Unimodular Roots of Special Littlewood Polynomials
- UNIMODULAR ROOTS OF RECIPROCAL LITTLEWOOD POLYNOMIALS
- Polynomials with coefficients from a finite set
- Binary Sequences With Merit Factor Greater Than<tex>$6.34$</tex>
- Determination of the merit factor of Legendre sequences
- On the Mean Values of Certain Trigonometrical Polynomials
- The Minimum Modulus of Polynomials with Coefficients of Modulus One
- Perturbing polynomials with all their roots on the unit circle
- Conjugates of Beta-Numbers and the Zero-Free Domain for a Class of Analytic Functions
- On a problem of Byrnes concerning polynomials with restricted coefficients
- Power series with restricted coefficients and a root on a given ray
- Polynomials With {0, +1, -1} Coefficients and a Root Close to a Given Point
- Littlewood-Type Problems on [0,1]
- Polynomials with Height 1 and Prescribed Vanishing at 1
- On a problem of Byrnes concerning polynomials with restricted coefficients, II
- On certain multiples of Littlewood and Newman polynomials
- On Littlewood and Newman polynomial multiples of Borwein polynomials
- Equidistribution of Zeros of Polynomials
- Multiple Roots of [−1, 1 Power Series]
- On the irreducibility of 0,1-polynomials of the form f(x) xn+ g(x)
- THE MAHLER MEASURE OF POLYNOMIALS WITH ODD COEFFICIENTS
- Polynomials with Restricted Coefficients and Prescribed Noncyclotomic Factors
- Salem numbers of negative trace
- Rudin-Shapiro-like polynomials in $L_{4}$
- Pisot Numbers from {0, 1}-Polynomials
- Improved lower bound for the number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set
- 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
- Zero location of polynomials with respect to the unit-circle unhampered by nonessential singularities
- A fraction-free unit-circle zero location test for a polynomial with any singularity profile
- POLYNOMIALS WITH MULTIPLE ROOTS AT 1
- On Sets of Algebraic Integers Whose Remaining Conjugates Lie in the Unit Circle
- Ensembles fermés d'entiers algébriques
- 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
- An L 1 Extremal Problem for Polynomials
- Reducibility of polynomials and covering systems of congruences
- Fast Library for Number Theory: An Introduction
- On the Number of Real Roots of a Random Algebraic Equation
- A Closed Set of Algebraic Integers
- Étude de certaines fonctions méromorphes bornées sur le cercle unité. Application à un ensemble fermé d'entiers algébriques
- On the zeros of polynomials with Littlewood-type coefficient constraints
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