Analytic Number Theory (Colloquium Publications) - Softcover

Henryk Iwaniec (author) & Emmanuel Kowalski (author)

Softcover

ISBN 10: 1470467704 ISBN 13: 9781470467708

Publisher: American Mathematical Society, 2022

Synopsis

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.

About this title

About the Author

Henryk Iwaniec, Rutgers University, Piscataway, NJ.

Emmanuel Kowalski, Universite Bordeaux I, Talence, France.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2022
• Language: English
• ISBN 10: 1470467704
• ISBN 13: 9781470467708
• Binding: Paperback
• Number of pages: 615