Levels of Distribution and the Affine Sieve

Levels of Distribution and the Affine Sieve
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分布水平和仿射筛

DOI:
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发表时间:
2014
期刊:
Annales de la Faculté des sciences de Toulouse : Mathématiques
影响因子:
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通讯作者:
Alex Kontorovich
Alex Kontorovich
中科院分区:
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文献类型:
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作者:
Alex Kontorovich

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本文是作者在2013年9月哈佛大学基本概念研讨会上演讲的扩展版本。我们的目标是对筛子理论中最近受到关注的两个主题的方面进行简要和介绍性的阐述:(1)张一堂的壮观作品,标题为“分配水平”;(2)由Bourain-Gamburd-Sarnak介绍的所谓的“仿射筛子”。
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.