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On Goldbach Problem Concerning Factorization of Meromorphic Functions

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【作者】 李宝勤宋国栋

【Author】 Li Baoqin Song Guodong Department of Mathematics,East China Normal University

【机构】 Department of Mathematics,East China Normal University

【摘要】 <正> The authors prove in this paper the followingTheorem.Let f(Z) be any transcendental meromorphic function in the plane.Then for any givennon-constant fractional linear function (Z),the set{a∈:f(Z)+a (Z) is not prime}is at most a countable set.

【Abstract】 The authors prove in this paper the following Theorem.Let f(Z) be any transcendental meromorphic function in the plane.Then for any given non-constant fractional linear function (Z),the set {a∈:f(Z)+a (Z) is not prime} is at most a countable set.

【关键词】 fractionalinfinitelysimultaneousstatedproofrationaloriginallymutuallysatisfygrateful
【基金】 Project supported by the National Natural Science Foundation of China.
  • 【文献出处】 Acta Mathematica Sinica ,数学学报(英文版) , 编辑部邮箱 ,1989年04期
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