Recent Progress in the Study of Polynomials with Constrained Coefficients

DOI10.1007/978-3-030-37904-9_2zbMath1442.30005OpenAlexW3012098145MaRDI QIDQ3296677

Publication date: 1 July 2020

Published in: Trigonometric Sums and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-37904-9_2

zbMATH Keywords

Rudin-Shapiro polynomials Littlewood polynomials Newman polynomials Fekete polynomials unimodular polynomials

Mathematics Subject Classification ID

Polynomials and rational functions of one complex variable (30C10)

Related Items (1)

On maximal autocorrelations of Rudin-Shapiro sequences

Uses Software

Shapiro

Cites Work

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The Mahler measure of the Rudin-Shapiro polynomials
On the sparsity of positive-definite automorphic forms within a family
Littlewood polynomials with small $L^4$ norm
Flatness of conjugate reciprocal unimodular polynomials
Sieve-type lower bounds for the Mahler measure of polynomials on subarcs
Average Mahler's measure and $L_p$ norms of unimodular polynomials
Computational excursions in analysis and number theory
Some unsolved problems
Extensions of the Bloch-Pólya theorem on the number of real zeros of polynomials
On Kahane's ultraflat polynomials
Hardy's inequality and the $L^ 1$ norm of exponential sums
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Zeros of Fekete polynomials
On the order of vanishing at 1 of a polynomial
Improved lower bound for the Mahler measure of the Fekete polynomials
Integrals involving Rudin-Shapiro polynomials and sketch of a proof of Saffari's conjecture
Counting zeros of cosine polynomials: on a problem of Littlewood
Distribution of simple zeros of polynomials
Advances in the merit factor problem for binary sequences
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Sums of monomials with large Mahler measure
On the zeros of cosine polynomials: solution to a problem of Littlewood
Power series approximations to Fekete polynomials
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On a problem of Bourgain concerning the $L^1$-norm of exponential sums
An improvement of the Erdős-Turán theorem on the distribution of zeros of polynomials
Character sums in complex half-planes
Littlewood Pisot numbers
Moments of the Rudin-Shapiro polynomials
On a problem of Bourgain concerning the $L_p$ norms of exponential sums
On the Rudin-Shapiro polynomials
Approximate formulas for some functions of prime numbers
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The expected $L_{p}$ norm of random polynomials
Merit Factors of Polynomials Formed by Jacobi Symbols
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Coppersmith–Rivlin type inequalities and the order of vanishing of polynomials at 1
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Polynomials with coefficients from a finite set
Binary Sequences With Merit Factor Greater Than<tex>$6.34$</tex>
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On the Mean Values of Certain Trigonometrical Polynomials
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Sur Les Polynomes a Coefficients Unimodulaires
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An exponential polynomial formed with the Legendre symbol
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Littlewood-Type Problems on [0,1]
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Trigonometric polynomials with many real zeros and a Littlewood-type problem
The resolution of Saffari's phase problem
Equidistribution of Zeros of Polynomials
Search for Ultraflat Polynomials with Plus and Minus One Coefficients
ON A PROBLEM OF LITTLEWOOD
Rudin-Shapiro-like polynomials in $L_{4}$
L^q Norms of Fekete and Related Polynomials
ON THE OSCILLATION OF THE MODULUS OF THE RUDIN–SHAPIRO POLYNOMIALS ON THE UNIT CIRCLE
On Littlewood Polynomials with Prescribed Number of Zeros Inside the Unit Disk
Local Universality of Zeroes of Random Polynomials
Lower bounds for the number of zeros of cosine polynomials in the period: a problem of Littlewood
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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 Extremal Problem for the Geometric Mean of Polynomials
On the zeros of polynomials with Littlewood-type coefficient constraints
How far is an ultraflat sequence of unimodular polynomials from being conjugate-reciprocal?

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