摘要最大模原理在复变函数论中占有重要的地位，是研究解析函数的有力工具。
Maximum modulus principle plays an important role in the complex analytics, and it is a powerful tool in studying the analytic function.
算术函数的均值问题在解析数论研究中占有十分重要的位置，许多著名的数论难题都与之密切相关。
Mean value problems of arithmetical functions play an important role in the study of analytic number theory, and they relate to many famous number theoretic problems.
利用解析方法研究了平方剩余数的若干性质，并给出了平方剩余数对于两个常用数论函数的几个均值公式。
By using the analytic method some properties of the square residues are studied, and several (interesting) mean value formulas are given.
解析函数是复变函数论主要的研究对象，而解析函数的五个等价条件又贯穿了我们对复变函数论学习的全过程。
Analytic functions of complex variable function is the main object of study, and the five equivalent conditions of analytic functions penetrate the whole process of learning of complex function.
解析函数是复变函数论主要的研究对象，而解析函数的五个等价条件又贯穿了我们对复变函数论学习的全过程。
Analytic functions of complex variable function is the main object of study, and the five equivalent conditions of analytic functions penetrate the whole process of learning of complex function.
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