Mean Value of Sums of Partial Quotients of Continued Fractions
Matematičeskie zametki, Tome 89 (2011) no. 3, pp. 472-476.

Voir la notice de l'article provenant de la source Math-Net.Ru

Keywords: continued fraction, rational number, Riemann zeta function
Mots-clés : convergent, partial quotient, Möbius transformation.
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E. N. Zhabitskaya. Mean Value of Sums of Partial Quotients of Continued Fractions. Matematičeskie zametki, Tome 89 (2011) no. 3, pp. 472-476. http://geodesic.mathdoc.fr/item/MZM_2011_89_3_a13/

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

[2] A. C. Yao, D. E. Knuth, Proc. Natl. Acad. Sci. USA, 72:12 (1975), 4720–4722 | DOI | MR | Zbl

[3] A. A. Panov, Matem. zametki, 32:5 (1982), 593–600 | MR | Zbl

[4] E. N. Zhabitskaya, Matem. sb., 200:8 (2009), 79–110 | MR | Zbl

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

[6] G. Myerson, Arch. Math. (Basel), 48:5 (1987), 420–425 | DOI | MR | Zbl