论文标题
复杂乘法的班级字段：Max Deuring的“ DieKlassenkörperder Komplexen乘数”的翻译
Class Fields of Complex Multiplication: translation of "Die Klassenkörper der komplexen Multiplikation" by Max Deuring
论文作者
论文摘要
这是Max Deuring的专着“ DieKlassenkörperder Komplexen乘数”的英文翻译，1958年出版为Enzyklopädieder Mathematischen Wissenschen Wissenschen Wissenschaften，i-2，i-2，i-band ift i-2，heft 10，heft 10，Teil II，B.G. Teil II，B.G. Teuber Verlagsgesellschaft，Stuttgart。它在复杂乘法理论中对分析方法进行了系统的解释 - 椭圆函数，模块化函数和代数数之间的相互关系。 这种翻译是作为学习德语的一种练习。与德国原始作品中给出的数学符号和术语保持尽可能密切的态度。除了纠正（非常）明显可校正的印刷错误之外，没有尝试将博览会现代化。
This is an English translation of the monograph "Die Klassenkörper der komplexen Multiplikation" by Max Deuring, published in 1958 as Enzyklopädie der Mathematischen Wissenschaften, Band I-2, Heft 10, Teil II by B.G. Teuber Verlagsgesellschaft, Stuttgart. It gives a systematic exposition of the analytic method in the theory of complex multiplication -- the interrelations between elliptic functions, modular functions and algebraic numbers. This translation was done as an exercise for learning the German language. The mathematical notation and terminology are kept as closely as possible to those given in the German original work. No attempt has been made to modernize the exposition, other than rectifying a (very) few obviously-correctable typographical errors.
