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Analytic Number Theory pp 411–430Cite as

Bombieri’s sieve

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Part of the book series: Progress in Mathematics ((PM,volume 138))

Abstract

Let a(n) denote a sequence of non-negative reals and A(x) the counting function

$$ A(x) = \sum\limits_{n \leqslant x} {a(n)} $$
(1.1)

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References

  1. E. Bombieri, On twin almost primes, Acta Arith 28 (1975), 177–193; ibid. 28 (1976), 457–461.

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  2. E. Bombieri, The asymptotic sieve Mem. Accad. Naz. dei XL 1/2 (1976), 243–269.

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  3. E. Fouvry and H. Iwaniec, Gaussian primes to appear.

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  4. J. Friedlander, Selberg’s formula and Siege’s zero Recent Progress in Analytic Number Theory. ed. H. Halberstam and C. Hooley, I, pp 15–23, Academic Press, London. 1981.

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  5. J. Friedlander and H. Iwaniec, On Bombieri’s asymptotic sieve Ann. Sc. Norm Sup (Pisa) V (1978), 719–756.

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

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  7. H. Iwaniec, Rosser’s sieve Acta Arith 36 (1980), 171–202.

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  8. A. Selberg, An elementary proof of the prime number theorem Ann. Math. 50 (1949), 305–313.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Toronto Scarborough College Toronto, M1C 1A4, Ontario, Canada

    John Friedlander

  2. Department of Mathematics, Rutgers University New Brunswick, NJ, 08903-2101, Canada

    Henryk Iwaniec

Authors
  1. John Friedlander
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  2. Henryk Iwaniec
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Illinois, 61801, Urbana, IL, USA

    Bruce C. Berndt , Harold G. Diamond  & Adolf J. Hildebrand ,  & 

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© 1996 Birkhäuser Boston

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Friedlander, J., Iwaniec, H. (1996). Bombieri’s sieve. In: Berndt, B.C., Diamond, H.G., Hildebrand, A.J. (eds) Analytic Number Theory. Progress in Mathematics, vol 138. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4086-0_22

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  • DOI: https://doi.org/10.1007/978-1-4612-4086-0_22

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-8645-5

  • Online ISBN: 978-1-4612-4086-0

  • eBook Packages: Springer Book Archive

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