On the distances between Pisot numbers generating the same number field

DOI10.1007/s40840-024-01779-0MaRDI QIDQ6655887

Toufik Zaimi

Publication date: 27 December 2024

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

zbMATH Keywords

Pisot numbersSalem numbersMeyer setsSalem trace numbers

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Algebraic numbers; rings of algebraic integers (11R04) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Irrationality; linear independence over a field (11J72)

Cites Work

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• Comments on some results about Pisot numbers
• On \(\varepsilon \)-Pisot numbers
• \(\varepsilon\)-Pisot numbers in any real algebraic number field are relatively dense.
• Meyer's concept of quasicrystal and quasiregular sets
• On totally real Pisot numbers
• Comments on Salem polynomials
• Nombres de Pisot, nombres de Salem et analyse harmonique. Cours Peccot donne au College de France en avril-mai 1969
• Zwei Sätze über Gleichungen mit ganzzahligen Coefficienten.
• Seventy years of Salem numbers
• Complex Pisot numbers in algebraic number fields
• Every Salem number is a difference of two Pisot numbers
• Numbers expressible as a difference of two Pisot numbers

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