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Simultaneous approximations of exponents by transcendental numbers of certain classes

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Abstract

We obtain a theorem on simultaneous approximations of values of the exponential function by elements of fields of finite transcendence degree for whose generators we have a “sufficiently good” estimate of the measure of algebraic independence.

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Literature cited

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Authors and Affiliations

  1. All-Union Scientific and Technical Information Center, USSR

    A. A. Shmelev

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  1. A. A. Shmelev
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Translated from Matematicheskie Zametki, Vol. 20, No. 3, pp. 305–314, September, 1976.

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Shmelev, A.A. Simultaneous approximations of exponents by transcendental numbers of certain classes. Mathematical Notes of the Academy of Sciences of the USSR 20, 731–736 (1976). https://doi.org/10.1007/BF01097239

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  • DOI: https://doi.org/10.1007/BF01097239

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