Literature cited
Yu. V. Nesterenko, “An order function for almost all numbers,” Mat. Zametki,15, No. 3, 405–414 (1974).
P. R. Halmos, Measure Theory, Van Nostrand, New York (1950).
J.-P. Serre, Algèbre Locale, Multiplicités, Lect. Notes Math.,11, Springer-Verlag, Berlin-Heidelberg-New York (1965).
Yu. V. Nesterenko, “Estimates for the orders of the zeros of a class of functions and their application to the theory of transcendental numbers,” Izv. Akad. Nauk SSSR, Ser. Mat.,41, No. 2, 253–284 (1977).
Yu. V. Nesterenko, “Diophantine approximations in the field of p-adic numbers,” Mat. Zametki,35, No. 5, 653–662 (1984).
A. O. Gelfond, Transcendental and Algebraic Numbers, Dover, New York (1960).
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Translated from Matematicheskie Zametki, Vol. 36, No. 3, pp. 295–304, September, 1984.
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Nesterenko, Y.V. Measure of algebraic independence for almost all pairs of p-adic numbers. Mathematical Notes of the Academy of Sciences of the USSR 36, 642–647 (1984). https://doi.org/10.1007/BF01141932
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DOI: https://doi.org/10.1007/BF01141932