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MAA Reviews

Heini Halberstam and Hans-Egon Richert

Preface to the Dover Edition
Preface
Notation
Introduction
1. Hypothesis H and Hn
2. Sieve Methods
3. Scope and Presentation
1. The Sieve of Eratosthenes: Formulation of the General Sieve Problem
2. The Combinatorial Sieve
3. The Simplest Seberg Upper Bound Method
4. The Selberg Upper Bound Method: Explicit Estimates
6. An Extension of Selberg's Upper Bound Method
7. Selberg's Sieve Method: A First Lower Bound
8. The Linear Sieve
9. A Weighted Sieve: The Linear Case
10. Weighted Sieves: The General Case
11. Chen's Theorem
Bibliography
References