Analytic Number Theory

Henryk Iwaniec, Emmanuel Kowalski

ISBN 10: 1470467704 / ISBN 13: 9781470467708

Verlag: American Mathematical Society, US, 2004

Beschreibung

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.

Bestandsnummer des Verkäufers LU-9781470467708

Bibliografische Details

• Titel: Analytic Number Theory
• Verlag: American Mathematical Society, US
• Erscheinungsjahr: 2004
• Sprache: Englisch
• ISBN-10: 1470467704
• ISBN-13: 9781470467708
• Einband: Paperback
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

Henryk Iwaniec, Rutgers University, Piscataway, NJ.

Emmanuel Kowalski, Universite Bordeaux I, Talence, France.