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覆盖曲面定理与代数体函数的重值
Theorems of the Covering Surfaces and Multiple Values of the Algebroid Functions
【摘要】 本文改进了Tsuji著名的球面有限连通覆盖定理,应用它建立了关于涉及代数体函数重值的基本不等式,并由此导出了有限正级代数体函数涉及其重值的充满圆序列及Borel方向的精确结果.
【Abstract】 In this paper, we firstly improve one of the well-known Tsuji’s theorems on the simply-connected finite covering surfaces of a sphere, and make use of it to prove a basic inequality on the multiple values of algebroid function. Then, we obtain the precise results of the sequence of filling disks and Borel direction dealing with multiple values of algebroid function of positive order finite.
【基金】 国家自然科学基金资助项目
- 【文献出处】 数学学报 ,Acta Mathematica Sinica , 编辑部邮箱 ,2001年05期
- 【分类号】O174.5
- 【被引频次】11
- 【下载频次】93