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Opera de Cribro
About this Title
John Friedlander, University of Toronto, Toronto, ON, Canada and Henryk Iwaniec, Rutgers University, Piscataway, NJ
Publication: Colloquium Publications
Publication Year:
2010; Volume 57
ISBNs: 978-0-8218-4970-5 (print); 978-1-4704-1766-6 (online)
DOI: https://doi.org/10.1090/coll/057
MathSciNet review: MR2647984
MSC: Primary 11N35; Secondary 11-02, 11N05, 11N13, 11N25, 11N36
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. Sieve questions
- Chapter 2. Elementary considerations on arithmetic functions
- Chapter 3. Bombieri’s sieve
- Chapter 4. Sieve of Eratosthenes-Legendre
- Chapter 5. Sieve principles and terminology
- Chapter 6. Brun’s sieve—The big bang
- Chapter 7. Selberg’s sieve—Kvadrater er positive
- Chapter 8. Sieving by many residue classes
- Chapter 9. The large sieve
- Chapter 10. Molecular structure of sieve weights
- Chapter 11. The beta-sieve
- Chapter 12. The linear sieve
- Chapter 13. Applications to linear sequences
- Chapter 14. The semi-linear sieve
- Chapter 15. Applications—Choice but not prime
- Chapter 16. Asymptotic sieve and the parity principle
- Chapter 17. Combinatorial identities
- Chapter 18. Asymptotic sieve for primes
- Chapter 19. Equidistribution of quadratic roots
- Chapter 20. Marching over Gaussian primes
- Chapter 21. Primes represented by polynomials
- Chapter 22. Level of distribution of arithmetic sequences
- Chapter 23. Primes in short intervals
- Chapter 24. The least prime in an arithmetic progression
- Chapter 25. Almost-prime sieve
- Appendix A. Mean values of arithmetic functions
- Appendix B. Differential-difference equations