内容

目次

List of tables; List of illustrations; Preface; Notation; Part I.Sieves: 1. Introduction; 2. Selberg's sieve method; 3. Combinatorialfoundations; 4. The fundamental Lemma; 5. Selberg's sieve method (continued);6. Combinatorial foundations (continued); 7. The case kappa = 1: the linearsieve; 8. An application of the linear sieve; 9. A sieve method for kappa >1; 10. Some applications of Theorem 9.1; 11. A weighted sieve method; PartII. Proof of the Main Analytic Theorem: 12. Dramatis personae andpreliminaries; 13. Strategy and a necessary condition; 14. Estimates ofsigmakappa (u) = jkappa (u/2); 15. The pkappa and qkappa functions; 16. Thezeros of PI 2 and XI; 17. The parameters sigmakappa and betakappa; 18.Properties of Fkappa and fkappa; Appendix 1. Methods for computing sievefunctions; Bibliography; Index.