The difference between consecutive primes, II

Proceedings of the London Mathematical Society

Volumn 83, Issue 3, 2001, Pages 532-562

  Baker, R C ^a   Harman, G ^b   Pintz, J ^c  

^a BRIGHAM YOUNG UNIVERSITY   (United States)

^b UNIVERSITY OF LONDON   (United Kingdom)

^c ALFRÉD RÉNYI INSTITUTE OF MATHEMATICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4444329922     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/plms/83.3.532     Document Type: Article

References (11)

1. R. C. BAKER and G. HARMAN, 'The difference between consecutive primes', Proc. London Math. Soc. (3) 72 (1996) 261-280.
2. R. C. BAKER, G. HARMAN and J. PINTZ, 'The exceptional set for Goldbach's problem in short intervals', Sieve methods, exponential sums and their applications in number theory (ed. G. R. H. Greaves, G. Harman and M. N. Huxley, Cambridge University Press, 1997) 1-54.
3. c]', J. Number Theory 50 (1995) 261-277.
4. G. HARMAN, 'On the distribution of αp modulo one', J. London Math. Soc. (2) 27 (1983) 9-18.
5. G. HARMAN, 'On the distribution of αp modulo one II', Proc. London Math. Soc. (3) 72 (1996) 241-260.
6. D. R. HEATH-BROWN, 'Prime numbers in short intervals and a generalized Vaughan identity', Canad. J. Math. 34 (1982) 1365-1377.
7. D. R. HEATH-BROWN, 'The number of primes in a short interval', J. Reine Angew. Math. 389 (1988) 22-63.
8. G. HOHEISEL, 'Primzahlprobleme in der Analysis', Sitz. Preuss. Akad. Wiss. 2 (1930) 1-13.
9. H. IWANIEC and J. PINTZ, 'Primes in short intervals', Monatsh. Math. 98 (1984) 115-143.
10. E. C. TITCHMARSH, The theory of the Riemann zeta-function, 2nd edn, revised by D. R. Heath-Brown (Oxford University Press, 1986).
11. N. WATT, 'Kloosterman sums and a mean value for Dirichlet polynomials', J. Number Theory 53 (1995) 179-210.