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论亚纯函数分解中的Goldbach问题
0N GOLDBACH PROBLEM IN MEROMORPHlC FACTORlZATION THEORY
【摘要】 在本文中我们证明了下述结果:定理:设f(z)是开平面上的亚纯函数,p(z)是非常数有理函数,且p(z)与f(z)无公共右因子,则集合{a∈C; f(z)+ap(z)不是素的}为一至多可数集.
【Abstract】 In this paper the authors prove the following Theorem In the plane let f(z) be transcendental meromorphic and p(z) non-constant rational. If p(z)and f(z) have not any common right factor, then the set {a??C: f(z)+ap(z)is not prime} is at most a countable set.
【关键词】 亚纯函数分解;
E-左素;
E-右素;
E-素;
素;
【Key words】 Factorization of meromorphic function; E-left-prime; E-right-prime; E-prjme; prime;
【Key words】 Factorization of meromorphic function; E-left-prime; E-right-prime; E-prjme; prime;
- 【文献出处】 苏州大学学报(自然科学) ,JOURNAL OF SUZHOU UNIVERSITY , 编辑部邮箱 ,1991年01期
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