Mathematische Annalen

, Volume 266, Issue 3, pp 317–320 | Cite as

A note on the differences between consecutive primes

  • D. R. Heath-Brown
  • D. A. Goldston
Article

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References

  1. 1.
    Cramér, H.: Some theorems concerning prime numbers. Ark. Mat. Astronom. Fys.15, 1–32 (1920)Google Scholar
  2. 2.
    Heath-Brown, D.R.: Gaps between primes, and the pair correlation of zeros of the zeta-function. Acta Arith.41, 85–99 (1982)Google Scholar
  3. 3.
    Montgomery, H.L.: Topics in multiplicative number theory. Berlin, Heidelberg, New York: Springer 1971Google Scholar
  4. 4.
    Montgomery, H.L.: The pair correlation of zeros of the zeta-function. Proc. Symp. Pure Math.24, 181–193 (1973)Google Scholar
  5. 5.
    Mueller, J.H.: On the difference between consecutive primes, Recent progress in analytic number theory, I, pp. 269–273. London, New York: Academic Press 1981Google Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • D. R. Heath-Brown
    • 1
  • D. A. Goldston
    • 2
  1. 1.Magdalen CollegeOxfordEngland
  2. 2.Institute for Advanced StudySchool of MathematicsPrincetonUSA

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