Geodesic
On Gauss~--- Kuz'min statistics in short intervals
Dalʹnevostočnyj matematičeskij žurnal, Tome 11 (2011) no. 1, pp. 93-98

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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. 
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     author = {A. V. Ustinov},
     title = {On {Gauss~---} {Kuz'min} statistics in short intervals},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
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     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2011_11_1_a8/}
}
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A. V. Ustinov. On Gauss~--- Kuz'min statistics in short intervals. Dalʹnevostočnyj matematičeskij žurnal, Tome 11 (2011) no. 1, pp. 93-98. http://geodesic.mathdoc.fr/item/DVMG_2011_11_1_a8/