Overview

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.

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9781470467708

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Reviews

"The book is written in a very lively and nicely readable style ... contains a very well chosen and balanced material. -- EMS Newsletter The authors are active researchers with a lot of experience and deep insight, and their creative attitude makes reading particularly rewarding... It can be warmly recommended toa wide readership ..."""" —Zentralblatt Math"

The book is written in a very lively and nicely readable style ... contains a very well chosen and balanced material. -- EMS Newsletter The authors are active researchers with a lot of experience and deep insight, and their creative attitude makes reading particularly rewarding... It can be warmly recommended toa wide readership ... -Zentralblatt Math

Author Information

Henryk Iwaniec, Rutgers University, Piscataway, NJ. Emmanuel Kowalski, Universite Bordeaux I, Talence, France.

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