Analytic Number Theory

Henryk Iwaniec, Emmanuel Kowalski

ISBN 10: 1470467704 / ISBN 13: 9781470467708

Published by American Mathematical Society, US, 2004

About this Item

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 exercises in each section serve a dual purpose, with some intended to improve the reader's understanding of the subject and others providing additional information. Formal prerequisites for the major part of the book do not go beyond calculus, complex analysis, integration, and Fourier series and integrals. In later chapters automorphic forms become important, with much necessary information about them included in two survey chapters.

Seller Inventory # LU-9781470467708

Bibliographic Details

• Title: Analytic Number Theory
• Publisher: American Mathematical Society, US
• Publication Date: 2004
• Language: English
• ISBN 10: 1470467704
• ISBN 13: 9781470467708
• Binding: Paperback
• Condition: New
• Dimensions: 17.15W x 3.18H x 24.77D centimeters 17.15 centimeters width by 3.18 centimeters height by 24.77 centimeters depth

About this title

Synopsis

Analytic Number Theory distinguishes itself by the variety of tools it uses to establish results. One of the primary attractions of this theory is its vast diversity of concepts and methods. The main goals of this book are to show the scope of the theory, both in classical and modern directions, and to exhibit its wealth and prospects, beautiful theorems, and powerful techniques. The book is written with graduate students in mind, and the authors nicely balance clarity, completeness, and generality. The exercises in each section serve dual purposes, some intended to improve readers' understanding of the subject and others providing additional information. Formal prerequisites for the major part of the book do not go beyond calculus, complex analysis, integration, and Fourier series and integrals. In later chapters automorphic forms become important, with much of the necessary information about them included in two survey chapters.