Continued Logarithm Representation of Real Numbers

We introduce the continued logarithm representation of real numbers and prove results on the occurrence and frequency of digits with respect to this representation. Mathematical Reviews subject classification: Primary: 11K25; Secondary: 28D05, 28A80 Key words: representation of real numbers, continu...

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Bibliographic Details
Published inReal analysis exchange Vol. 43; no. 1; pp. 57 - 65
Main Author Jörg Neunhäuserer
Format Journal Article
LanguageEnglish
Published East Lansing Michigan State University Press 01.01.2018
Subjects
Interval arithmetic
Iterations of functions
Lebesgue measures
Logarithms
Mathematical functions
Mathematical intervals
Mathematical theorems
Mathematics
Numbers
Numerical analysis
Real numbers
Theorems
Zero
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Summary:We introduce the continued logarithm representation of real numbers and prove results on the occurrence and frequency of digits with respect to this representation. Mathematical Reviews subject classification: Primary: 11K25; Secondary: 28D05, 28A80 Key words: representation of real numbers, continued logarithms, digits, frequency, Hausdorff dimension
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0147-1937
1930-1219
DOI:10.14321/realanalexch.43.1.0057