Gaussian primes

Acta Arithmetica

Volumn 79, Issue 3, 1997, Pages 249-287

  Fouvry, Etienne ^a   Iwaniec, Henryk ^b  

^a UNIVERSITÉ PARIS SACLAY   (France)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040655473     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa-79-3-249-287     Document Type: Article

References (20)

1. E. Bombieri, On twin almost primes, Acta Arith. 28 (1975), 177-193; ibid. 28 (1976), 457-461.
2. E. Bombieri, On twin almost primes, Acta Arith. 28 (1975), 177-193; ibid. 28 (1976), 457-461.
3. _, The asymptotic sieve, Rend. Accad. Naz. XL (5), 1/2 (1975/76).
4. M. Coleman, The Rosser-Iwaniec sieve in number fields, with an application, Acta Arith. 65 (1993), 53-83.
5. H. Davenport and H. Halberstam, The values of a trigonometric polynomial at well spaced points, Mathematika 13 (1966), 91-96.
6. W. Duke, Some problems in multidimensional analytic number theory, Acta Arith. 52 (1989), 203-228.
7. W. Duke, J. Friedlander and H. Iwaniec, Equidistribution of roots of a quadratic congruence to prime moduli, Ann. of Math. 141 (1995), 423-441.
8. E. Fogels, On the zeros of Hecke's L-functions I, II, III, Acta Arith. 7 (1962), 87-106, 131-147, 225-240.
9. J. Friedlander and H. Iwaniec, Bombieri's sieve, in: Analytic Number Theory, Proceedings of a Conference in Honor of Heini Halberstam, Progr. Math. 138, Birkhäuser, 1996, 411-430.
10. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products, Academic Press, London, 1965.
11. E. Hecke, Eine neue Art von Zetafunktionen und ihre Beziehungen zur Verteilung der Primzahlen II, Math. Z. 6 (1920), 11-51.
12. K. Ireland and M. Rosen, A Classical Introduction to Modern Number Theory, 2nd ed., Springer, 1982.
13. H. Iwaniec, Rosser's sieve, Acta Arith. 36 (1980), 171-202.
14. E. Jacobsthal, Über die Darstellung der Primzahlen der Form 4n+1 als Summe zweier Quadrate, J. Reine Angew. Math. 132 (1907), 238-245.
15. J. P. Kubilius, On some problems in geometry of prime numbers, Mat. Sb. 31 (73) (1952), 507-542 (in Russian).
16. H. L. Montgomery and R. C. Vaughan, Hilbert's inequality, 3. London Math. Soc. (2) 8 (1974), 73-82.
17. J. Pomykała, Cubic norms represented by quadratic sequences, Colloq. Math. 66 (1994), 283-297.
18. G. J. Rieger, Über die Summe aus einem Quadrat und einem Primzahlquadrat, J. Reine Angew. Math. 231 (1968), 89-100.
19. A. Selberg, Lectures on Sieves, Collected Papers, Vol. II, Springer, 1991.
20. R. C. Vaughan, Mean value theorems in prime number theory, J. London Math. Soc. 10 (1975), 153-162.