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A theorem on the transcendency and its applications

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Abstract

A theorem on the transcendency, for a limit of a sequence of algebraic numbers, is given and used to test the transcendencies of some classes of numbers.

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References

  1. Baker, A.,Trunscendental Nurnber Theory, Cambridge: Cambridge University Press, 1979.

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  2. Gutting, R., Polynomials with multiple zeros,Mathematika, 1967, 14: 181.

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  4. Hardy, G. H., Wright E. M.,An Introduction to the Theory of Numhers, London: The English Language Book Society and Oxford University Press, 1981.

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Authors and Affiliations

  1. Hangzhou Teachers College, 310012, Hangzhou, China

    Xiuyuan Yu

Authors
  1. Xiuyuan Yu
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Project supported by the National Natural Science Foundation of China and the Natural Science Foundation of Zhejiang Province.

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Yu, X. A theorem on the transcendency and its applications. Sci. China Ser. A-Math. 40, 825–831 (1997). https://doi.org/10.1007/BF02878922

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  • DOI: https://doi.org/10.1007/BF02878922

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