Real Analysis Exchange

Continued Logarithm Representation of Real Numbers

Jörg Neunhäuserer

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We introduce the continued logarithm representation of real numbers and prove results on the occurrence and frequency of digits with respect to this representation.

Article information

Real Anal. Exchange, Volume 43, Number 1 (2018), 57-66.

First available in Project Euclid: 2 May 2018

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 11K25
Secondary: 28D05: Measure-preserving transformations 28A80: Fractals [See also 37Fxx]

representation of real numbers continued logarithms digits frequency Hausdorff dimension


Neunhäuserer, Jörg. Continued Logarithm Representation of Real Numbers. Real Anal. Exchange 43 (2018), no. 1, 57--66. doi:10.14321/realanalexch.43.1.0057.

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