Advertisement

The combinatorial sieve

  • H. Diamond
  • H. Halberstam
Conference paper
  • 329 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 1122)

Keywords

Sieve Analysis Acta Arith Sieve Method Differential Difference Equation Prime Number Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    N. C. Ankeny and H. Onishi, The general sieve, Acta Arith. 10(1964/65), 31–62.MathSciNetzbMATHGoogle Scholar
  2. 2.
    H. Halberstam, Lectures on the linear sieve, University of Texas Press, 1984.Google Scholar
  3. 3.
    H. Halberstam and H.-E. Richert, Sieve Methods, Academic Press, 1974.Google Scholar
  4. 4.
    H. Iwaniec, On the error term in the linear sieve, Acta Arith. 19(1971), 1–30.MathSciNetzbMATHGoogle Scholar
  5. 5.
    ____, Rosser's sieve, Acta Arith. 36(1980), 171–202.MathSciNetzbMATHGoogle Scholar
  6. 6.
    H. Iwaniec, J. van de Lune and H. J. J. te Riele, The limits of Buchstab's iteration sieve, Indag. Math. Proc. A 83 (4), (1980).Google Scholar
  7. 7.
    W. B. Jurkat and H.-E. Richert, An improvement of Selberg's sieve method, Acta Arith. 11(1965), 217–240.MathSciNetzbMATHGoogle Scholar
  8. 8.
    Y. Motohashi, Lectures on sieve methods and prime number theory, Springer, 1984.Google Scholar
  9. 9.
    J. W. Porter, On the non-linear sieve, Acta Arith. 29(1976), 377–400.MathSciNetzbMATHGoogle Scholar
  10. 10.
    D. Rawsthorne, Improvements in the small sieve estimate of Selberg by iteration, Ph.D. thesis, University of Illinois, 1980.Google Scholar
  11. 11.
    ____, Selberg's sieve estimate with a one sided hypothesis, Acta Arith. 41(1982), 281–289.MathSciNetzbMATHGoogle Scholar
  12. 12.
    H. J. J. te Riele, Numerical solution of two coupled non linear equations related to the limits of Buchstab's iteration sieve, Afdeling Numerieke Wiskunde, 86. Math. Centrum, Amsterdam, 1980, 15 pp.Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • H. Diamond
    • 1
  • H. Halberstam
    • 1
  1. 1.Department of MathematicsUniversity of IllinoisUrbanaU.S.A.

Personalised recommendations