A combinatorial problem connected with differential equations II
H. Davenport (1971)
Acta Arithmetica
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H. Davenport (1971)
Acta Arithmetica
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M. Narlikar, K. Ramachandra (1980)
Acta Arithmetica
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P. Erdös, J. Turk (1984)
Acta Arithmetica
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R. Tijdeman, M. Voorhoeve (1980)
Compositio Mathematica
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Michael Drmota, Wolfgang Steiner (2002)
Journal de théorie des nombres de Bordeaux
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In the first part of the paper we prove that the Zeckendorf sum-of-digits function and similarly defined functions evaluated on polynomial sequences of positive integers or primes satisfy a central limit theorem. We also prove that the Zeckendorf expansion and the -ary expansions of integers are asymptotically independent.
Florian Luca (2002)
Collectanea Mathematica
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C. Hooley (1998)
Acta Arithmetica
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R. Baker, J. Gajraj (1976)
Acta Arithmetica
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De Koninck, Jean-Marie, Doyon, Nicolas (2003)
Journal of Integer Sequences [electronic only]
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