@article{SM_1971_14_3_a1,
author = {M. S. Nurmagomedov},
title = {Arithmetic properties of the values of a~class of analytic functions},
journal = {Sbornik. Mathematics},
pages = {329--357},
year = {1971},
volume = {14},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1971_14_3_a1/}
}
M. S. Nurmagomedov. Arithmetic properties of the values of a class of analytic functions. Sbornik. Mathematics, Tome 14 (1971) no. 3, pp. 329-357. http://geodesic.mathdoc.fr/item/SM_1971_14_3_a1/
[1] C. Siegel, “Über einige Anwendungen Diophantische Approximationen”, Abhandl. Preuss. Acad. Wiss., 1929–30, no. 1, 1–70 | Zbl
[2] C. Siegel, Transcendental numbers, Princeton, 1949 | MR
[3] A. B. Shidlovskii, “O kriterii algebraicheskoi nezavisimosti znachenii odnogo klassa tselykh funktsii”, DAN SSSR, 100:2 (1955), 221–4224
[4] A. B. Shidlovskii, “Ob odnom klasse transtsendentnykh chisel”, Trudy matem. s'ezda, 1956, 15–16
[5] A. B. Shidlovskii, “O kriterii algebraicheskoi nezavisimosti znachenii odnogo klassa tselykh funktsii”, Izv. AN, seriya matem., 23 (1959), 35–66 | Zbl
[6] A. B. Shidlovskii, “K obschei teoreme ob algebraicheskoi nezavisimosti znachenii $E$-funktsii”, DAN SSSR, 171 (1966), 810–815
[7] D. Kassels, Vvedenie v teoriyu diofantovykh priblizhenii, IL, Moskva, 1961
[8] E. Gekke, Lektsii po teorii algebraicheskikh chisel, Gostekhizdat, Moskva, 1940
[9] A. B. Shidlovskii, “O transtsendentnosti i algebraicheskoi nezavisimosti znachenii nekotorykh $E$-funktsii”, Vestnik MGU, 1961, no. 5, 44–59
[10] A. B. Shidlovskii, “O transtsendentnosti i algebraicheskoi nezavisimosti znachenii tselykh funktsii nekotorykh klassov”, Matematika. Tom IX, Uchenye zapiski MGU, 186, 1959, 11–70 | MR | Zbl
[11] J. B. Rosser, “Approximate formulas some functions of prime numbers”, Illimois J. Math., 6:1 (1962), 69 | MR
[12] A. Ostrowski, “Sur les relations algebriques entre les integrales indefinies”, Acta. Math., 78 (1946), 315–318 | DOI | MR | Zbl
[13] H. I. Feldman, “Ob otsenke lineinoi formy ot logarifmov nekotorykh algebraicheskikh chisel”, Matem. zametki, 2:3 (1967), 245–256 | Zbl