Fundamental Lemma of Sieve Theory

In number theory, the fundamental lemma of sieve theory is any of several results that systematize the process of applying sieve methods to particular problems. Halberstam & Richert write:

A curious feature of sieve literature is that while there is frequent use of Brun's method there are only a few attempts to formulate a general Brun theorem (such as Theorem 2.1); as a result there are surprisingly many papers which repeat in considerable detail the steps of Brun's argument.

Diamond & Halberstam attribute the terminology Fundamental Lemma to Jonas Kubilius.

Read more about Fundamental Lemma Of Sieve Theory:  Common Notation, Fundamental Lemma of The Combinatorial Sieve, Fundamental Lemma of The Selberg Sieve

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