Geodesic
Generalized continued fractions
Diskretnaya Matematika, Tome 10 (1998) no. 4, pp. 39-60 
D. A. Maslov. Generalized continued fractions. Diskretnaya Matematika, Tome 10 (1998) no. 4, pp. 39-60. http://geodesic.mathdoc.fr/item/DM_1998_10_4_a2/
@article{DM_1998_10_4_a2,
     author = {D. A. Maslov},
     title = {Generalized continued fractions},
     journal = {Diskretnaya Matematika},
     pages = {39--60},
     year = {1998},
     volume = {10},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1998_10_4_a2/}
}
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The tools of generalized continued fractions are developed with the purpose of applying them in number theoretic problems in future.