二个等式在代数体函数中的若干应用

Two Equations and Their Application in Theory of Algebroidal Function

首先运用Rudin复分析中的一个结论,证明了Nevanlinna值分布理论中的一个重要等式即文章的定理2,然后运用定理2和引理2中二个等式代数体函数得出了定理3。最后运用定理3比较简洁的证明了代数体函数第一基本定理。

In this paper, we proved an important equation （theorem 2 in the present paper） in the theory of distribution of values, by using some result from Comlex Analysis by Rudin. And then as an application of this equation, we formulated another equation （Theorem 3 ） and prove the first fundamental theorem in the theory of algebroidal function.