On the length of continued fractions representing a rational number with given denominator
P. Szüsz (1980)
Acta Arithmetica
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Displaying similar documents to “On consecutive Farey arcs”
On the length of continued fractions representing a rational number with given denominator
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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.
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