ON REAL PARTS OF POWERS OF COMPLEX PISOT NUMBERS

DOI10.1017/S0004972716000125zbMath1418.11142MaRDI QIDQ2986536

Toufik Zaimi

Publication date: 16 May 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

distribution modulo onecomplex Pisot numbers

Mathematics Subject Classification ID

PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Distribution modulo one (11J71) Totally real fields (11R80)

Related Items (3)

Representations for complex numbers with integer digits ⋮ On certain multiples of Littlewood and Newman polynomials ⋮ On the distribution of powers of a Gaussian Pisot number

Cites Work

• Fonctions méromorphes dans le cercle-unité et leurs séries de Taylor
• Complex Pisot numbers of small modulus.
• Integer parts of powers of Pisot and Salem numbers
• On integer and fractional parts of powers of Salem numbers
• An arithmetical property of powers of Salem numbers
• Répartition (mod 1) des puissances successives des nombres réels
• A remarkable class of algebraic integers. Proof of a conjecture of Vijayaraghavan
• Comments on the distribution modulo one of powers of Pisot and Salem numbers
• Comments on the fractional parts of Pisot numbers
• A Closed Set of Algebraic Integers
• Sur un ensemble fermé d'entiers algébriques
• Étude de certaines fonctions méromorphes bornées sur le cercle unité. Application à un ensemble fermé d'entiers algébriques
• Complex Pisot numbers in algebraic number fields

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