Harold G. Diamond, H. Halberstam, William F. Galway

A Higher-Dimensional Sieve Method

• Gebundenes Buch

Produktbeschreibung

Modern and practical guide to higher dimensional sieve theory, with an Appendix describing methods for computing sieve functions.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 290
• Erscheinungstermin: 16. Oktober 2008
• Englisch
• Abmessung: 235mm x 157mm x 20mm
• Gewicht: 576g
• ISBN-13: 9780521894876
• ISBN-10: 0521894875
• Artikelnr.: 25045162

Autorenporträt

Harold G. Diamond is Professor Emeritus in the Department of Mathematics at the University of Illinois at Urbana-Champaign.

Inhaltsangabe

List of tables; List of illustrations; Preface; Notation; Part I. Sieves: 1. Introduction; 2. Selberg's sieve method; 3. Combinatorial foundations; 4. The fundamental Lemma; 5. Selberg's sieve method (continued); 6. Combinatorial foundations (continued); 7. The case
= 1: the linear sieve; 8. An application of the linear sieve; 9. A sieve method for
> 1; 10. Some applications of Theorem 9.1; 11. A weighted sieve method; Part II. Proof of the Main Analytic Theorem: 12. Dramatis personae and preliminaries; 13. Strategy and a necessary condition; 14. Estimates of
(u) = j
(u/2); 15. The p
and q
functions; 16. The zeros of
2 and
; 17. The parameters
and ß
; 18. Properties of F
and f
; Appendix 1. Methods for computing sieve functions; Bibliography; Index.