Literature cited
A. B. Shidlovskii, Diophantine Approximations and Transcendental Numbers [in Russian], Moscow State Univ. Press, Moscow (1985).
A. B. Shidlovskii, “On a criterion for the algebraic independence of values of a class of entire functions,” Dokl. Akad. Nauk SSSR,100, No. 2, 221–224 (1959); Izv. Akad. Nauk SSSR, Ser. Mat.,23, No. 1, 35–66 (1959).
A. B. Shidlovskii, “On the transcendence and algebraic independence of values of E-functions connected by any number of algebraic equations in the field of rational functions, “ Izv. Akad. Nauk SSSR, Ser. Mat.,26, No. 6, 877–910 (1962).
A. B. Shidlovskii, “On the algebraic independence of values of E-functions at algebraic points,” Vestn. Mosk. Univ., Ser. Mat. Mekh., No. 1, 30–33 (1987).
V. A. Oleinikov, “On some properties of algebraically dependent quantities,” Vestn. Mosk. Univ., Ser. Mat. Mekh., No. 5, 11–17 (1962).
A. B. Shidlovskii, “On estimates of polynomials in the values of E-functions,” Mat. Sb.,115(157), No. 1(5), 3–39 (1981).
V. G. Chirskii, “On arithmetical properties of values of analytic functions connected by algebraic equations over the field of rational functions,” Mat. Zametki,14, No. 1, 83–94 (1973).
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Translated from Matematicheskie Zametkie, Vol. 45, No. 1, pp. 115–122, January, 1989.
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Shidlovskii, A.B. Algebraic independence of values of E-functions at algebraic points. Mathematical Notes of the Academy of Sciences of the USSR 45, 78–83 (1989). https://doi.org/10.1007/BF01158721
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DOI: https://doi.org/10.1007/BF01158721