A generalization of a theorem of Lekkerkerker to Ostrowski's decomposition of natural numbers

DOI10.4064/aa153-3-1zbMath1275.11016OpenAlexW2330798006MaRDI QIDQ2880458

Edward B. Burger, Zhaoning Wang, David C. Clyde, Cory H. Colbert, Gea Hyun Shin

Publication date: 13 April 2012

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa153-3-1

zbMATH Keywords

continued fractionquadratic irrationalZeckendorf expansionOstrowski expansion

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Recurrences (11B37) Continued fractions (11A55) Continued fraction calculations (number-theoretic aspects) (11Y65)

Related Items (6)

Generalizing Zeckendorf's theorem to \(f\)-decompositions ⋮ Canonical Diophantine representations of natural numbers with respect to quadratic ``bases ⋮ From Fibonacci numbers to central limit type theorems ⋮ Representations of positive integers ⋮ A Probabilistic Approach to Generalized Zeckendorf Decompositions ⋮ Арифметические свойства полиадических рядов с периодическими коэффициентами

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