代数体函数的几个定理

Several Theorems of Algebroid Functions

应用Nevanlinna理论,首先,研究了代数体函数的唯一性问题,将亚纯函数五值强化定理推广到代数体函数,得到了3v+1值强化定理;其次,研究了当分担值较少时2个代数体函数特征函数之间的关系,推广了亚纯函数四值定理.

The Nevanlinna theory is used,firstly,to investigate the uniqueness of algebroid functions,extend the strengthening five-valued theorem of meromorphic function to algebroid function and obtain the strengthening 3v+1-valued theorem of algebroid function and,secondly,to study the relation between the characteristic functions of two algebroid functions when they share less shared values and extend the four-valued theorem of meromorphic function.