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The combinatorial sieve

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

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References

  1. N. C. Ankeny and H. Onishi, The general sieve, Acta Arith. 10(1964/65), 31–62.

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  2. H. Halberstam, Lectures on the linear sieve, University of Texas Press, 1984.

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  3. H. Halberstam and H.-E. Richert, Sieve Methods, Academic Press, 1974.

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  4. H. Iwaniec, On the error term in the linear sieve, Acta Arith. 19(1971), 1–30.

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  5. ____, Rosser's sieve, Acta Arith. 36(1980), 171–202.

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  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).

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  7. W. B. Jurkat and H.-E. Richert, An improvement of Selberg's sieve method, Acta Arith. 11(1965), 217–240.

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  8. Y. Motohashi, Lectures on sieve methods and prime number theory, Springer, 1984.

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  9. J. W. Porter, On the non-linear sieve, Acta Arith. 29(1976), 377–400.

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  10. D. Rawsthorne, Improvements in the small sieve estimate of Selberg by iteration, Ph.D. thesis, University of Illinois, 1980.

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  11. ____, Selberg's sieve estimate with a one sided hypothesis, Acta Arith. 41(1982), 281–289.

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  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.

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Dedicated to Paul Erdös on the occasion of his 70th birthday

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© 1985 Springer-Verlag

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Diamond, H., Halberstam, H. (1985). The combinatorial sieve. In: Alladi, K. (eds) Number Theory. Lecture Notes in Mathematics, vol 1122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075751

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  • DOI: https://doi.org/10.1007/BFb0075751

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15222-4

  • Online ISBN: 978-3-540-39642-0

  • eBook Packages: Springer Book Archive