Some sieve theory by Terence Tao (254A Notes 4) (21 January 2015)

By Terence Tao.

Author's primary text: terrytao.wordpress.com/2015/01/21/254a-notes-4-some-sieve-theory/

Corollary 19 states the fundamental lemma of sieve theory with a summed remainder; equations (26) and Corollary 21 apply it to simultaneous almost prime values. The opening definitions and the quadratic-weight construction describe sieve theory and the Selberg sieve.