论亚纯函数分解中的Goldbach问题

0N GOLDBACH PROBLEM IN MEROMORPHlC FACTORlZATION THEORY

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.

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.