27 - Sifting Problems, Sifting Density, and Sieves
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Publisher SummaryThis chapter discusses the sifting problems, sifting density, and the sieves. Some new terminology has been introduced in the chapter, which distinguishes between the problem, the sifting, and the tool or instrument, the sieve. Some generalizations of the theory have been indicated. The chapter presents the results concerning the sifting limit for high constant density. The specific methods that have been utilized for constructing sieves include: first, the combinatorial sieve, referred to as the “B2R sieve.” Second, the process of Buchstab iteration. Third, multiplication of Λ-systems and sieves.

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