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Some classes of transcendental numbers

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Abstract

Some classes of numbers are given which make it possible to determine, from a given q-ary expansion, their arithmetical order. One of these classes is defined by the fact that for each number in the class it is possible to give its q-ary expansion and its expansion in a proper continued fraction.

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Literature cited

  1. N. I. Fel'dman and A. B. Shidlovskii, “The development and the current state of the theory of trans-scendental numbers,” Usp. Matem. Nauk.,22, No. 3 (135), 3–81 (1967).

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Authors and Affiliations

  1. Leningrad Electrotechnical Institute, USSR

    L. V. Danilov

Authors
  1. L. V. Danilov
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Translated from Matematicheskie Zametki, Vol. 12, No. 2, pp. 149–154, August, 1972.

In conclusion the author wishes to express his deep gratitude to I. N. Blinov for discussion of the paper and useful observations.

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Danilov, L.V. Some classes of transcendental numbers. Mathematical Notes of the Academy of Sciences of the USSR 12, 524–527 (1972). https://doi.org/10.1007/BF01095010

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  • DOI: https://doi.org/10.1007/BF01095010

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