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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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/

[1] O. Perron, Die Lehre von den Kettenbrüchen. Bd I: Elementare Kettenbrüche, B. G. Teubner Verlagsgesellschaft, Stuttgart, 1954 | MR | Zbl

[2] J. W. Porter, Mathematika, 22:1 (1975), 20–28 | MR | Zbl

[3] A. V Ustinov, Izv. RAN. Ser. matem., 72:5 (2008), 189–224

[4] V. Baladi, B. Vallée, J. Number Theory, 110:2 (2005), 331–386 | DOI | MR | Zbl

[5] A. V Ustinov, Algebra i analiz, 20:5 (2008), 186–216