**Cours Specialises**

Volume: 13;
2004;
232 pp;
Softcover

MSC: Primary 11;
**Print ISBN: 978-2-85629-161-0
Product Code: COSP/13**

List Price: $59.00

Individual Member Price: $47.20

# Un cours de théorie analytique des nombres

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*Emmanuel Kowalski*

A publication of the Société Mathématique de France

This book is an introduction to the multiplicative theory of prime numbers. It is divided roughly into two parts. The first part introduces the classical methods based on analytic properties of Dirichlet series, leading to the fundamental results about the prime number theory in arithmetic progressions. The second part presents methods in the forefront of current research to prove a theorem of Duke, Friedlander and Iwaniec on equidistribution of roots of a quadratic polynomial modulo primes. This result is discussed throughout the book. The two main points are a sieve result not restricted to "almost primes", and the use of results coming from the spectral theory of automorphic forms.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

#### Table of Contents

# Table of Contents

## Un cours de theorie analytique des nombres

#### Readership

Graduate students and research mathematicians interested in number theory.