On the distribution of the leading digit of \(a^n\): a study via \(\chi^2\) statistics (Q1677566)
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scientific article; zbMATH DE number 6806114
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the distribution of the leading digit of \(a^n\): a study via \(\chi^2\) statistics |
scientific article; zbMATH DE number 6806114 |
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On the distribution of the leading digit of \(a^n\): a study via \(\chi^2\) statistics (English)
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10 November 2017
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The authors investigate the \(\chi^2\) statistic of the leading digits of \(a^n\), where \(\log_{10} a\) has a single isolated large partial quotient in its continued fraction expansion. A qualitative discussion of the graphs of \(\chi^2\) statistics is also included.
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leading digits
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irrational rotations
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continued fractions
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\(\chi^2\) statistic
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