On~the distribution of fractional parts and Benford's law
Izvestiya. Mathematics , Tome 19 (1982) no. 1, pp. 65-77

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This article investigates the distribution of the first digits (from the left) in the $q$-nary expansions of numerical sequences and functions ($q$ an integer $\geqslant2$). Bibliography: 13 titles.
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     author = {A. I. Pavlov},
     title = {On~the distribution of fractional parts and {Benford's} law},
     journal = {Izvestiya. Mathematics },
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A. I. Pavlov. On~the distribution of fractional parts and Benford's law. Izvestiya. Mathematics , Tome 19 (1982) no. 1, pp. 65-77. http://geodesic.mathdoc.fr/item/IM2_1982_19_1_a4/