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Simultaneous approximations of some numbers connected with the exponential function by elements of the field Q1

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Literature cited

  1. A. O. Gel'fond, “On the algebraic independence of transcendental numbers of certain classes,” Usp. Mat. Nauk,4, No. 5, 14–18 (1949).

    Google Scholar 

  2. A. O. Gel'fond, Transcendental and Algebraic Numbers [in Russian], Gostekhizdat, Moscow (1952).

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  3. A. A. Shmelev, “Simultaneous approximations of exponentials by polynomials in a given transcendental number,” Ukr. Mat. Zh.,27, No. 4, 555–563 (1975).

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  4. A. A. Shmelev, “Simultaneous approximations of exponentials by elements of the field Q1,” Mat. Zametki,30, No. 1, 3–12 (1981).

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  5. A. A. Shmelev, “On the algebraic independence of exponentials,” Mat. Zametki,17, No. 3, 407–418 (1975).

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Translated from Matematicheskie Zametki, Vol. 38, No. 2, pp. 201–207, August, 1985.

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Shmelev, A.A. Simultaneous approximations of some numbers connected with the exponential function by elements of the field Q1 . Mathematical Notes of the Academy of Sciences of the USSR 38, 622–625 (1985). https://doi.org/10.1007/BF01156240

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  • DOI: https://doi.org/10.1007/BF01156240

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