Chapters in this book

1. Frontmatter i
2. Contents vii
3. Preface xi
4. Notation xiii
5. Chapter 1. Introduction 1
6. Chapter 2. The Vaughan Identity 25
7. Chapter 3. The Alternative Sieve 47
8. Chapter 4. The Rosser-Iwaniec Sieve 65
9. Chapter 5. Developing the Alternative Sieve 83
10. Chapter 6. An Upper-Bound Sieve 103
11. Chapter 7. Primes in Short Intervals 119
12. Chapter 8. The Brun-Titchmarsh Theorem on Average 157
13. Chapter 9. Primes in Almost All Intervals 189
14. Chapter 10. Combination with the Vector Sieve 201
15. Chapter 11. Generalizing to Algebraic Number Fields 231
16. Chapter 12. Variations on Gaussian Primes 265
17. Chapter 13. Primes of the Form x3 + 2y3 303
18. Chapter 14. Epilogue 335
19. Appendix 337
20. Bibliography 349
21. Index 361