亚纯函数的素函数乘积表示(英文)

PRODUCT REPRESENTATION OF A MEROMORPHIC FUNCTION BY TWO PRIME FUNCTIONS

本文解决了Gross等人提出的问题在亚纯函数时的相应情形,证明了任何一个亚纯函数都可表示为两个素亚纯函数的乘积。

The authors prove in this paper the follwingTheorem Let f be any transcendental meromorphic function in the plane.Then there is a non-constant fractional linear function (?),such that the set{α∈C;f(z)((?)(z)-α)is not prime}is at most a countable set.