Geodesic
On a simultaneous approximation of logarithms and algebraic powers of algebraic numbers
Matematičeskie zametki, Tome 56 (1994) no. 1, pp. 122-134 Cet article a éte moissonné depuis la source Math-Net.Ru

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A. A. Shmelev. On a simultaneous approximation of logarithms and algebraic powers of algebraic numbers. Matematičeskie zametki, Tome 56 (1994) no. 1, pp. 122-134. http://geodesic.mathdoc.fr/item/MZM_1994_56_1_a13/

[1] Gelfond A. O., “Ob algebraicheskoi nezavisimosti transtsendentnykh chisel nekotorykh klassov”, UMN, 4:5 (1949), 14–48 | MR | Zbl

[2] Gelfond A. O., Transtsendentnye i algebraicheskie chisla, Gostekhizdat, M., 1952

[3] Shmelev A. A., “Sovmestnye priblizheniya eksponent elementami polei, stepen transtsendentnosti kotorykh ravna edinitse”, Matematicheskie zametki, 48:6 (1990), 126–136 | MR | Zbl

[4] Shmelev A. A., “K voprosu ob algebraicheskoi nezavisimosti eksponent”, Matem. zametki, 17:3 (1975), 407–418 | MR | Zbl

[5] Shmelev A. A., “Sovmestnye priblizheniya eksponent mnogochlenami ot zadannogo transtsendentnogo chisla”, Ukr. matem. zhurnal, 27:4 (1975), 555–563 | MR | Zbl

[6] Tijdeman R., “An auxiliary result in the theory of transcendental numbers”, J. Number Theory, 1973, no. 5, 191–202 | MR

[7] Chudnovskii G. V., “Algebraicheskaya nezavisimost neskolkikh znachenii pokazatelnoi funktsii”, Matem. zametki, 15:4 (1974), 661–672 | MR

[8] Feldman N. I., Sedmaya problema Gilberta, Izd-vo MGU, M., 1982 | Zbl