本文研究了单位圆内v值代数体函数的聚值点的存在性.利用覆盖曲面的几何方法,证明了单位圆内满足一定条件的v值代数体函数的聚值点存在性定理,并解决了李国平院士提出的一个问题和一个猜想.
In this article,we study the existence of the cluster point of a v-valued algebroidal function in the unit circle.By applying the main theorems on covering surface,we prove the existence theorem on the cluster point of a v-valued algebroidal function satisfying some conditions in the unit circle.Furthermore,this article answers a question and confirms a conjecture,which were posed by Li Guoping.