Dedekind切割
模块化形式
拉马努詹之和
高斯
椭圆函数
Dedekind eta函数
域代数上的
Ramanujanθ函数
数学
模块化设计
赫克操作员
纯数学
相关性(法律)
θ函数
计算机科学
数学分析
艾森斯坦系列
物理
操作系统
量子力学
法学
政治学
标识
DOI:10.1017/9781316671504
摘要
This thorough work presents the fundamental results of modular function theory as developed during the nineteenth and early-twentieth centuries. It features beautiful formulas and derives them using skillful and ingenious manipulations, especially classical methods often overlooked today. Starting with the work of Gauss, Abel, and Jacobi, the book then discusses the attempt by Dedekind to construct a theory of modular functions independent of elliptic functions. The latter part of the book explains how Hurwitz completed this task and includes one of Hurwitz's landmark papers, translated by the author, and delves into the work of Ramanujan, Mordell, and Hecke. For graduate students and experts in modular forms, this book demonstrates the relevance of these original sources and thereby provides the reader with new insights into contemporary work in this area.
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