On certain multiples of Littlewood and Newman polynomials

zbMath1444.11044arXiv1801.07179MaRDI QIDQ4558079

Jonas Jankauskas, Paulius Drungilas, Lukas Klebonas, Grintas Junevičius, Jonas Šiurys

Publication date: 21 November 2018

Full work available at URL: https://arxiv.org/abs/1801.07179

zbMATH Keywords

Salem numbersLittlewood polynomialNewman polynomialBorwein polynomial

Mathematics Subject Classification ID

Number-theoretic algorithms; complexity (11Y16) Polynomials in number theory (11C08) Polynomials in real and complex fields: factorization (12D05) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (2)

On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk ⋮ On the Multiplicity of the Zeros of Polynomials with Constrained Coefficients

Uses Software

• SageMath
• Arb

Cites Work

• Unnamed Item
• Comments on the height reducing property. II
• Dimension of a family of singular Bernoulli convolutions
• Negative Pisot and Salem numbers as roots of Newman polynomials
• Power series with integral coefficients
• A remarkable class of algebraic integers. Proof of a conjecture of Vijayaraghavan
• On spectra of neither Pisot nor Salem algebraic integers
• Some computations on the spectra of Pisot and Salem numbers
• ON REAL PARTS OF POWERS OF COMPLEX PISOT NUMBERS
• On Newman polynomials which divide no Littlewood polynomial
• Representations of numbers and finite automata
• Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic
• On Littlewood and Newman polynomial multiples of Borwein polynomials

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