Real Analysis Exchange

Continued Logarithm Representation of Real Numbers

Jörg Neunhäuserer

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Abstract

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

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

Dates
First available in Project Euclid: 2 May 2018

Permanent link to this document
https://projecteuclid.org/euclid.rae/1525226423

Digital Object Identifier
doi:10.14321/realanalexch.43.1.0057

Mathematical Reviews number (MathSciNet)
MR3816432

Zentralblatt MATH identifier
06924874

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

Keywords
representation of real numbers continued logarithms digits frequency Hausdorff dimension

Citation

Neunhäuserer, Jörg. Continued Logarithm Representation of Real Numbers. Real Anal. Exchange 43 (2018), no. 1, 57--66. doi:10.14321/realanalexch.43.1.0057. https://projecteuclid.org/euclid.rae/1525226423


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