F-expansions of rationals

DOI10.1007/BF01836529zbMath0316.10030OpenAlexW4253270771MaRDI QIDQ1221124

Michael S. Waterman

Publication date: 1975

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136546

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

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A Jacobi algorithm and metric theory for greatest common divisors ⋮ Multidimensional greatest common divisor and Lehmer algorithms

Cites Work

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• Some remarks on Kuzmin's theorem for F-expansions
• Representations for real numbers and their ergodic properties
• Metrische Theorie einer Klasse zahlentheoretischer Transformationen
• Some ergodic properties of multi-dimensional f-expansions