Polynomials with Height 1 and Prescribed Vanishing at 1

DOI10.1080/10586458.2000.10504419zbMath0999.12001OpenAlexW2013444924MaRDI QIDQ4526085

Michael J. Mossinghoff, Peter B. Borwein

Publication date: 1 May 2001

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1045604677

zbMATH Keywords

heightpolynomialssearch algorithmdivisibility by cyclotomic polynomialszeros of high order

Mathematics Subject Classification ID

Polynomials in real and complex fields: factorization (12D05) Polynomials (irreducibility, etc.) (11R09)

Related Items

On a problem of Byrnes concerning polynomials with restricted coefficients, II ⋮ Newman polynomials with prescribed vanishing and integer sets with distinct subset sums ⋮ On roots of polynomials with positive coefficients ⋮ Polynomials with Restricted Coefficients and Prescribed Noncyclotomic Factors ⋮ Upper Bounds for Norms of Products of Binomials ⋮ Pseudo-Boolean functions and the multiplicity of the zeros of polynomials ⋮ On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk ⋮ On some polynomials and series of Bloch–Pólya type ⋮ On the Multiplicity of the Zeros of Polynomials with Constrained Coefficients ⋮ On Newman polynomials which divide no Littlewood polynomial ⋮ Using symbolic calculations to determine largest small polygons ⋮ Littlewood polynomials, spectral-null codes, and equipowerful partitions ⋮ DIOPHANTINE EQUATIONS FOR POLYNOMIALS WITH RESTRICTED COEFFICIENTS, I (POWER VALUES)

Uses Software

• NTL

Cites Work

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• Factoring polynomials with rational coefficients
• Pure product polynomials and the Prouhet-Tarry-Escott problem
• On a problem of Byrnes concerning polynomials with restricted coefficients
• On the Roots of Certain Algebraic Equations
• Littlewood-Type Problems on [0,1]