Applications of standard Sturmian words to elementary number theory

DOI10.1016/S0304-3975(00)00430-8zbMath0996.68143MaRDI QIDQ1605324

Thomas C. Brown

Publication date: 15 July 2002

Published in: Theoretical Computer Science (Search for Journal in Brave)

zbMATH Keywords

Sturmian wordscontinued fractionsZeckendorf representations

Mathematics Subject Classification ID

Combinatorics on words (68R15)

Cites Work

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• A division property of the Fibonacci word
• Abschätzungen für \(\sum _{n\leq N}B_ 1(n\alpha)\). (Estimates for \(\sum _{n\leq N}B_ 1(n\alpha)\))
• Sums of fractional parts of integer multiples of an irrational
• Sturmian words: structure, combinatorics, and their arithmetics
• Special factors, periodicity, and an application to Sturmian words
• On the generating function of the integer part: \([n\alpha{}+ \gamma{}\)]
• Characterization of the set of values \(f(n)=[n \alpha , n=1,2,\dots \)]
• Some classes of transcendental numbers
• On the theory of diophantine approximations. I1 (on a problem of A. Ostrowski)
• Systems of Numeration
• Beatty Sequences, Continued Fractions, and Certain Shift Operators
• A Remarkable Class of Continued Fractions
• The Sequence of Greatest Integers of an Arithmetic Progression
• Determination of [nθ by its Sequence of^*Differences]
• A Characterization of the Quadratic Irrationals
• Geometrical Bijections in Discrete Lattices
• Descriptions of the Characteristic Sequence of an Irrational
• On the discrepancy of (nα)
• A Simple Proof of a Remarkable Continued Fraction Identity

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