On the fractional parts of powers of Pisot numbers of length at most 4

DOI10.1016/j.jnt.2014.05.003zbMath1385.11064OpenAlexW2161721062WikidataQ114157530 ScholiaQ114157530MaRDI QIDQ404356

Jonas Jankauskas, Arturas Dubickas

Publication date: 4 September 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.05.003

zbMATH Keywords

fractional partsPisot numbers

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials (irreducibility, etc.) (11R09) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (1)

Periodic sequences modulo 1 and Pisot numbers

Cites Work

• Diophantine approximations with Fibonacci numbers
• Distribution of geometric sequences modulo 1
• Powers of rationals modulo 1 and rational base number systems
• Pisot numbers in the neighbourhood of a limit point. I
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• An arithmetical property of powers of Salem numbers
• Zwei Sätze über inhomogene diophantische Approximation von Irrationalzahlen
• View-obstruction problems
• Algebraic integers whose conjugates lie in the unit circle
• Pisot Numbers in the Neighborhood of a Limit Point. II
• ARITHMETICAL PROPERTIES OF POWERS OF ALGEBRAIC NUMBERS
• Pisot and Salem Numbers in Intervals of the Real Line
• On the range of fractional parts {ξ(p/q)ⁿ}
• An unsolved problem on the powers of 3/2
• Étude de certaines fonctions méromorphes bornées sur le cercle unité. Application à un ensemble fermé d'entiers algébriques
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