Numbers expressible as a difference of two Pisot numbers

DOI10.1007/s10474-024-01410-5MaRDI QIDQ6547998

Arturas Dubickas

Publication date: 31 May 2024

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

Pisot numberconjugateKronecker's approximation theorem

Mathematics Subject Classification ID

Galois theory (11R32) Algebraic numbers; rings of algebraic integers (11R04) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Cites Work

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• Kronecker's approximation theorem
• Substitution dynamical systems - spectral analysis
• Pisot unit generators in number fields
• Some class of cubic Pisot numbers with finiteness property
• Monogenic Pisot and anti-Pisot polynomials
• Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers
• Sumsets of Pisot and Salem numbers
• Power series with integral coefficients
• Algebraic integers whose conjugates lie in the unit circle
• A Note on Kronecker's Approximation Theorem
• A remark on an algorithm for testing Pisot polynomials
• Conjugates of Pisot numbers
• Mahler measures of Pisot and Salem type numbers
• Seventy years of Salem numbers
• Every Salem number is a difference of two Pisot numbers

Related Items (1)

On the distances between Pisot numbers generating the same number field

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