Geodesic
Estimate for dispersion of lengths of continued fractions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 6, pp. 15-26

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An estimate for dispersion of lengths of continued fractions is proved for fixed denominator. This estimate improves the trivial one by the logarithm of the denominator. 
@article{FPM_2005_11_6_a2,
     author = {V. A. Bykovskii},
     title = {Estimate for dispersion of lengths of continued fractions},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {15--26},
     publisher = {mathdoc},
     volume = {11},
     number = {6},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_6_a2/}
}
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V. A. Bykovskii. Estimate for dispersion of lengths of continued fractions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 6, pp. 15-26. http://geodesic.mathdoc.fr/item/FPM_2005_11_6_a2/