On bombieri's asymptotic sieve

Transactions of the American Mathematical Society

Volumn 357, Issue 4, 2005, Pages 1663-1674

  Ford, Kevin ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 16244381790     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-04-03579-2     Document Type: Article

References (10)

1. E. Bombieri, On twin almost-primes, Acta Arith. 28 (1975), 177-193, 457-461. MR53:300
2. E. Bombieri, The asymptotic sieve, Mem. Acad. Naz. dei XL, 1/2 (1976), 243-269. MR58:10799
3. V. Brun, Über das Goldbachsche Gesetz und die Anzahl der Primzahlpaare, Archiv for Math. og Naturvid. B 34 (1915), no. 8, 19 pp.
4. V. Brun, Le crible d'Eratosthéne et le théorème de Goldbach, Skr. Norske Vid.-Akad. Kristiania I. 1920, no. 3, 36 pp.
5. J. Friedlander and H. Iwaniec, Bombieri's sieve, in Analytic Number Theory, Proc. Halberstam Conf., Allerton Park, Illinois, June 1995, ed. B. C. Berndt et al. (1996), pp. 411-430, Birkhäuser (Boston). MR97m:11117
6. J. Friedlander and H. Iwaniec, Asymptotic sieve for primes, Annals of Math. (2) 148 (1998), 1041-1065. MR2000c:11150b
7. 4 captures its primes, Annals of Math. (2) 148 (1998), 945-1040. MR2000c:11150a
8. G. Greaves, Sieves in Number Theory, Springer-Verlag, Ergebnisse der Mathematik und ihrer Grenzgebiete vol. 43 (2001). MR2002i:11092
9. H. Halberstam and H.-E. Richert, Sieve Methods, Academic Press, London (1974). MR54:12689
10. A. Selberg, The general sieve method and its place in prime-number theory, Proc. Internat. Congress of Math., Cambridge, Mass. (1950), Amer. Math. Soc. (Providence, RI) (1952) 1, 286-292. MR13:438d