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Levels of Distribution and the Affine Sieve
This article is an expanded version of the author's lecture in the Basic
Notions Seminar at Harvard, September 2013. Our goal is a brief and
introductory exposition of aspects of two topics in sieve theory which have
received attention recently: (1) the spectacular work of Yitang Zhang, under
the title "Level of Distribution," and (2) the so-called "Affine Sieve,"
introduced by Bourgain-Gamburd-Sarnak.Comment: 34 pages, 2 figure
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