Geodesic
On logarithms of natural numbers
Izvestiya. Mathematics , Tome 15 (1980) no. 3, pp. 523-530.

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In this paper linear forms in a set of logarithms of consecutive natural numbers are investigated. Bibliography: 2 titles. 
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E. M. Nikishin. On logarithms of natural numbers. Izvestiya. Mathematics , Tome 15 (1980) no. 3, pp. 523-530. http://geodesic.mathdoc.fr/item/IM2_1980_15_3_a4/

[1] Feldman N. I., “Ob otsenke modulya lineinoi formy ot logarifmov nekotorykh algebraicheskikh chisel”, Matem. zametki, 2:3 (1967), 245–256 | MR

[2] Galochkin A. I., “Otsenki snizu lineinykh form ot znachenii nekotorykh $G$-funktsii”, Matem. zametki, 18:4 (1975), 541–552 | MR | Zbl