Some non-linear diophantine approximations
R. Baker, J. Gajraj (1976)
Acta Arithmetica
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R. Baker, J. Gajraj (1976)
Acta Arithmetica
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P. Erdös, J. Turk (1984)
Acta Arithmetica
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Kurt Mahler (1975)
Acta Arithmetica
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András Sárközy (1980)
Acta Arithmetica
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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.
J. Loxton (1972)
Acta Arithmetica
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A. Baker (1972)
Acta Arithmetica
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R. Hall (1974)
Acta Arithmetica
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A. Balog, András Sárközy (1984)
Acta Arithmetica
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