Geodesic
Some metric properties of Engel's representation
Sbornik. Mathematics, Tome 18 (1972) no. 2, pp. 249-265

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We examine some facts of the metric theory of two number-theoretic representations which are equivalent in the probabilistic sense, one of which is the well-known representation of Engel. Bibliography: 4 titles. 
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     title = {Some metric properties of {Engel's} representation},
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V. V. Konyukhovskii. Some metric properties of Engel's representation. Sbornik. Mathematics, Tome 18 (1972) no. 2, pp. 249-265. http://geodesic.mathdoc.fr/item/SM_1972_18_2_a6/