Analytic Number Theory

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A01=Emmanuel Kowalski
A01=Henryk Iwaniec
Author_Emmanuel Kowalski
Author_Henryk Iwaniec
Category=PBH
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Product details

  • ISBN 9781470467708
  • Publication Date: 30 Jul 2004
  • Publisher: American Mathematical Society
  • Publication City/Country: US
  • Product Form: Paperback
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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.
Henryk Iwaniec, Rutgers University, Piscataway, NJ.

Emmanuel Kowalski, Universite Bordeaux I, Talence, France.

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