Gaussian Behavior in Generalized Zeckendorf Decompositions

DOI10.1007/978-1-4939-1601-6_12zbMath1343.11022arXiv1107.2718OpenAlexW2139784971MaRDI QIDQ5265396

Steven J. Miller, Yinghui Wang

Publication date: 23 July 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.2718

zbMATH Keywords

generating functionsFibonacci numbersZeckendorf's theorempartial fraction expansioncentral limit type theoremsfar-difference representationsLekkerkerker's theorem

Mathematics Subject Classification ID

Convergence of probability measures (60B10) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Numerical aspects of recurrence relations (65Q30)

Related Items (7)

On the Combinatorics of Placing Balls into Ordered Bins ⋮ On Zeckendorf Related Partitions Using the Lucas Sequence ⋮ Generalizing Zeckendorf's theorem to \(f\)-decompositions ⋮ The Zeckendorf Game ⋮ Bin decompositions ⋮ The distribution of gaps between summands in generalized Zeckendorf decompositions ⋮ A Probabilistic Approach to Generalized Zeckendorf Decompositions

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