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Buchstab's sifting weights

Published online by Cambridge University Press:  26 February 2010

Marc Laborde
Affiliation:
Université Paris 6, Mathématiques Tour 46–0, 4 Place Jussieu.
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Extract

Let be a finite sequence of positive integers. If we want to show that contains primes, or at least almost-primes (i.e. numbers with few prime factors), sieve methods give better results if weights of a certain kind are attached to the elements of .

Type
Research Article
Copyright
Copyright © University College London 1979

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References

1.Buchstab, A. A.. Uspehi Mat. Nauk, 22 (135) (1967), 199226.Google Scholar
2.Richert, H. E.. “Selberg's sieve with weights”, Mathematika, 16 (1969), 122CrossRefGoogle Scholar