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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Keywords: Euclidean algorithm, Euclidean algorithm with least-absolute value remainders, continued fraction, Gauss–Kuzmin statistics. 
@article{MZM_2009_85_1_a16,
     author = {A. V. Ustinov},
     title = {The {Mean} {Number} of {Steps} in the {Euclidean} {Algorithm} with {Least} {Absolute-Value} {Remainders}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {153--156},
     year = {2009},
     volume = {85},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_85_1_a16/}
}
TY  - JOUR
AU  - A. V. Ustinov
TI  - The Mean Number of Steps in the Euclidean Algorithm with Least Absolute-Value Remainders
JO  - Matematičeskie zametki
PY  - 2009
SP  - 153
EP  - 156
VL  - 85
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MZM_2009_85_1_a16/
LA  - ru
ID  - MZM_2009_85_1_a16
ER  - 
%0 Journal Article
%A A. V. Ustinov
%T The Mean Number of Steps in the Euclidean Algorithm with Least Absolute-Value Remainders
%J Matematičeskie zametki
%D 2009
%P 153-156
%V 85
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_2009_85_1_a16/
%G ru
%F MZM_2009_85_1_a16
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