Geodesic
The Mean Number of Steps in the Euclidean Algorithm with Least Absolute-Value Remainders
Matematičeskie zametki, Tome 85 (2009) no. 1, pp. 153-156

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Keywords: Euclidean algorithm, Euclidean algorithm with least-absolute value remainders, continued fraction, Gauss–Kuzmin statistics. 
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     title = {The {Mean} {Number} of {Steps} in the {Euclidean} {Algorithm} with {Least} {Absolute-Value} {Remainders}},
     journal = {Matemati\v{c}eskie zametki},
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     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_85_1_a16/}
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A. V. Ustinov. The Mean Number of Steps in the Euclidean Algorithm with Least Absolute-Value Remainders. Matematičeskie zametki, Tome 85 (2009) no. 1, pp. 153-156. http://geodesic.mathdoc.fr/item/MZM_2009_85_1_a16/