Asymptotic sieve for primes

Annals of Mathematics

Volumn 148, Issue 3, 1998, Pages 1041-1065

  Friedlander, John ^a   Iwaniec, Henryk ^b  

^a UNIVERSITY OF TORONTO   (Canada)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032272798     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.2307/121035     Document Type: Article

References (11)

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2. W. DUKE, J.B. FRIEDLANDER, and H. IWANIEC, Equidistribution of roots of a quadratic congruence to prime moduli, Ann. of Math. 141 (1995), 423-441.
3. F. DRESS, H. IWANIEC, and G. TENENBAUM, Sur une somme liée à la fonction de Möbius, J. Reine Angew. Math. 340 (1983), 51-58.
4. E. FOUVRY and H. IWANIEC, Gaussian primes, Acta Arith. 79 (1997), 249-287.
5. J. FRIEDLANDER and H. IWANIEC, Bombieri's sieve, in Analytic Number Theory, Proc. Halberstam Conf., Allerton Park Illnois, June 1995, ed. B. C. Berndt et al., pp. 411-430, Birkhäuser (Boston), 1996.
6. 4 captures its primes, Ann. of Math. 148 (1998), 945-1040.
7. G. HARMAN, On the distribution of αp modulo one, J. London Math. Soc. 27 (1983), 9-18.
8. H. IWANIEC, A new form of the error term in the linear sieve, Acta Arith. 37 (1980), 307-320.
9. H. IWAMIEC and M. JUTILA, Primes in short intervals, Ark. Mat. 17 (1979), 167-176.
10. A. SELBERG, On elementary methods in primenumber-theory and their limitations, in Proc. 11th Scand. Math. Cong. Trondheim (1949), Collected Works Vol. I, pp. 388-397, Springer (Berlin), 1989.
11. D. WOLKE, A new proof of a theorem of van der Corput, J. London Math. Soc. 5 (1972), 609-612.