数学
解析数论
哥德巴赫猜想
黎曼zeta函数
黎曼假设
数论
纯数学
克卢斯特曼总和
全纯函数
素数定理
狄里克莱级数
模块化形式
算术zeta函数
质数
Dirichlet分布
离散数学
数学分析
边值问题
作者
Henryk Iwaniec,Emmanuel Kowalski
出处
期刊:Colloquium Publications - American Mathematical Society
日期:2004-06-08
被引量:2175
摘要
Analytic Number Theory distinguishes itself by the variety of tools it uses to establish results, many of which belong to the mainstream of arithmetic. One of the main attractions of analytic number theory is the vast diversity of concepts and methods it includes. The main goal of the book is to show the scope of the theory, both in classical and modern directions, and to exhibit its wealth and prospects, its beautiful theorems and powerful techniques. The book is written with graduate students in mind, and the authors tried to balance between clarity, completeness, and generality. The exercis
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