The Reciprocal Algebraic Integers Having Small House

DOI10.1080/10586458.2021.1982425arXiv1811.01295OpenAlexW3206287621MaRDI QIDQ6062282

Dragan Stankov

Publication date: 30 November 2023

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

Full work available at URL: https://arxiv.org/abs/1811.01295

zbMATH Keywords

method of least squaresMahler measurecyclotomic polynomialsprimitive polynomialalgebraic integerreciprocal polynomialmaximal modulusSchinzel-Zassenhaus conjecturehouse of algebraic integer

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Algebraic number theory computations (11Y40) Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

• Comments on the height reducing property. II
• On the smallest houses of reciprocal algebraic integers
• Small dilatation mapping classes coming from the simplest hyperbolic braid
• Computational excursions in analysis and number theory
• A refinement of two theorems of Kronecker
• Negative Pisot and Salem numbers as roots of Newman polynomials
• On spectra of neither Pisot nor Salem algebraic integers
• Some computations on the spectra of Pisot and Salem numbers
• On Newman polynomials which divide no Littlewood polynomial
• The Maximal Modulus of an Algebraic Integer
• On Littlewood and Newman polynomial multiples of Borwein polynomials
• Entropy and the clique polynomial
• On the Product of the Conjugates outside the unit circle of an Algebraic Integer

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