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On Goldbach problem concerning factorization of meromorphic functions

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Abstract

The authors prove in this paper the following

Theorem

Letf (Z) be any transcendental meromorphic function in the plane. Then for any given non-constant fractional linear functionϕ (Z), the set

$$\left\{ {a \in \mathbb{C}:f(Z) + a\varphi (Z) is not prime} \right\}$$

is at most a countable set.

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References

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Authors and Affiliations

  1. Department of Mathematics, East China Normal University, China

    Li Baoqin & Song Guodong

Authors
  1. Li Baoqin
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  2. Song Guodong
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Additional information

Project supported by the National Natural Science Foundation of China.

The authors are grateful to Professor K. Niino for his helpful suggestion.

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Baoqin, L., Guodong, S. On Goldbach problem concerning factorization of meromorphic functions. Acta Mathematica Sinica 5, 337–344 (1989). https://doi.org/10.1007/BF02107711

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  • DOI: https://doi.org/10.1007/BF02107711

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