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Dal'nevostochnyi Matematicheskii Zhurnal, 2011, Volume 11, Number 1, Pages 93–98
(Mi dvmg214)
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This article is cited in 3 scientific papers (total in 3 papers)
On Gauss — Kuz'min statistics in short intervals
A. V. Ustinov
Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
Abstract:
The article is devoted to investigation of Gauss — Kuz'min statistics for rational numbers $a/b$, where $b$ is fixed, $1\le a\le b$, $(a,b)=1$. New asymptotic formula for the mean value of Gauss — Kuz'min statistics is proved. It sharpens previous result which is similar to the Porter's theorem.
Key words:
Euclidean algorithm, continued fractions, Kloosterman sums, Gauss — Kuz'min statistics.
Received: 01.11.2010
Citation:
A. V. Ustinov, “On Gauss — Kuz'min statistics in short intervals”, Dal'nevost. Mat. Zh., 11:1 (2011), 93–98
Linking options:
https://www.mathnet.ru/eng/dvmg214 https://www.mathnet.ru/eng/dvmg/v11/i1/p93
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| Statistics & downloads: |
| Abstract page: | 495 | | Full-text PDF : | 125 | | References: | 69 | | First page: | 1 |
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Citation in format AMSBIB
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