On the length of continued fractions representing a rational number with given denominator
P. Szüsz (1980)
Acta Arithmetica
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P. Szüsz (1980)
Acta Arithmetica
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Iekata Shiokawa (1988)
Acta Arithmetica
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R. Hall (1976)
Acta Arithmetica
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John Friedlander, Henryk Iwaniec (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Akio Fujii (1981)
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. Bovey (1977)
Acta Arithmetica
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Jan-Hendrik Evertse (1982)
Compositio Mathematica
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