EUDML | Odometers and systems of numeration

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Displaying similar documents to “Odometers and systems of numeration”

Iteration of endomorphisms on the real axis and representation of numbers

B. Derrida, A. Gervois, Y. Pomeau (1978)

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János Galambos (1973)

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Characterization of the unique expansions $1 = \sum_{i = 1}^{\infty} q^{- n_{i}}$ and related problems

Pál Erdös, Istvá n Joó, Vilmos Komornik (1990)

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On multiples of certain real sequences

J. Haight (1988)

Acta Arithmetica

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Actions of sets of integers on irrationals

Daniel Berend (1987)

Acta Arithmetica

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Algebraically unrelated sequences

Jaroslav Hančl (2003)

Mathematica Slovaca

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The distribution of the sum-of-digits function

Michael Drmota, Johannes Gajdosik (1998)

Journal de théorie des nombres de Bordeaux

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By using a generating function approach it is shown that the sum-of-digits function (related to specific finite and infinite linear recurrences) satisfies a central limit theorem. Additionally a local limit theorem is derived.