Geodesic
The representation of rational numbers by terminating continued fractions
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 51 (1996) no. 4, pp. 736-738 
S. V. Konyagin; N. G. Moshchevitin. The representation of rational numbers by terminating continued fractions. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 51 (1996) no. 4, pp. 736-738. http://geodesic.mathdoc.fr/item/RM_1996_51_4_a8/
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     title = {The representation of rational numbers by terminating continued fractions},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_1996_51_4_a8/}
}
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[1] Korobov N. M., UMN, 22:3 (1967), 83–118 | MR | Zbl

[2] Cusick T. W., Math. Comp., 61:203 (1993), 171–176 | DOI | MR | Zbl

[3] Moschevitin N. G., Matem. zapiski, 2 (1996), 99–109