Displaying similar documents to “Two random constructions inside lacunary sets”

The Zeckendorf expansion of polynomial sequences

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 s z ( n ) 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 q -ary expansions of integers are asymptotically independent.