Geodesic
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 ⩾2). Bibliography: 13 titles. 
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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. https://geodesic-test.mathdoc.fr/item/IM2_1982_19_1_a4/

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[2] Nechaev V. I., Chislovye sistemy, Prosveschenie, M., 1975

[3] Flehinger B. J., “On the probability that a random has initial digit $A$”, Amer. Mathem. Month., 73 (1966), 1056–1061 | DOI | MR | Zbl

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[9] van der Corput I. G., “Diophantische Ungleichungen. I: Zur Gleichverteilung modulo Eins”, Acta Math., 56 (1931), 373–456 | DOI | MR | Zbl

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[11] Ingam A. E., Raspredelenie prostykh chisel, ONTI, M., L., 1936

[12] Kassels D. V., Vvedenie v teoriyu diofantovykh priblizhenii, IL, M., 1961

[13] Arnold V. I., Obyknovennye differentsialnye uravneniya, Nauka, M., 1971 | MR