Two sharp inequalities for the norm of a factor of a polynomial

DOI10.1112/S0025579300015072zbMath0758.30003OpenAlexW2049783645MaRDI QIDQ4027941

David W. Boyd

Publication date: 3 March 1993

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300015072

zbMATH Keywords

extremal polynomialsuniform normfactorsmonic polynomialMahler's measureCatalan's constant

Mathematics Subject Classification ID

Related Items (13)

On Mahler's inequality for the sum of polynomials ⋮ Reverse triangle inequalities for potentials ⋮ Evaluations of the areal Mahler measure of multivariable polynomials ⋮ Lower bounds for Mahler-type measures of polynomials ⋮ On products of polynomials II ⋮ Minimizing and maximizing the Euclidean norm of the product of two polynomials ⋮ An inequality for the norm of a polynomial factor ⋮ Products of polynomials in uniform norms ⋮ Reverse triangle inequalities for Riesz potentials and connections with polarization ⋮ Mahler's measure for polynomials in several variables ⋮ On sums of two and three roots of unity ⋮ Inequalities between height and deviation of polynomials ⋮ Mahler's Measure and Special Values of L-functions

Cites Work

• Bounding the coefficients of a divisor of a given polynomial
• Products of polynomials in many variables
• Estimations de produits de polynômes. (Estimates of products of polynomials)
• The asymptotic behaviour of the binomial circulant determinant
• Mahler measure and entropy for commuting automorphisms of compact groups
• On Some Inequalities for Polynomials in Several Variables
• Speculations Concerning the Range of Mahler's Measure
• Hyperbolic geometry: The first 150 years

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