Levels of Distribution and the Affine Sieve
Author(s) -
Alex Kontorovich
Publication year - 2014
Publication title -
annales de la faculté des sciences de toulouse mathématiques
Language(s) - English
Resource type - Journals
eISSN - 2258-7519
pISSN - 0240-2963
DOI - 10.5802/afst.1432
Subject(s) - sieve (category theory) , affine transformation , zhàng , mathematics , distribution (mathematics) , bounded function , pure mathematics , discrete mathematics , mathematical analysis , political science , law , china
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.
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