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Simultaneous approximations of exponential functions by polynomials in a given transcendental number

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Literature cited

  1. A. O. Gel'fond, “On the algebraic independence of transcendental numbers of certain classes,” Ukr. Matem. Zh.,4, No. 5 (33) (1949).

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

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  3. J. W. Cassels, Introduction to Diophantine Approximation, Cambridge University Press (1957).

  4. B. L. Van der Waerden, Modern Algebra [Russian translation], Vol. 2, ONTI, Moscow (1937).

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  5. R. Bellman, Introduction to Matrix Analysis, McGraw-Hill, New York (1960).

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  6. N. I. Fel'dman, “On the approximation of logarithms of algebraic numbers by algebraic numbers,” Izv. Akad. Nauk SSSR, Ser. Matem.,24, No. 4 (1960).

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Authors and Affiliations

  1. Institute of Electronic Control Machines, Moscow

    A. A. Shmelev

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  1. A. A. Shmelev
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 27, No. 4, pp. 555–563, July–August, 1975.

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Shmelev, A.A. Simultaneous approximations of exponential functions by polynomials in a given transcendental number. Ukr Math J 27, 459–466 (1975). https://doi.org/10.1007/BF01085600

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  • DOI: https://doi.org/10.1007/BF01085600

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