{"title":"分布水平和仿射筛","authors":"Alex Kontorovich","doi":"10.5802/AFST.1432","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":169800,"journal":{"name":"Annales de la Faculté des sciences de Toulouse : Mathématiques","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"17","resultStr":"{\"title\":\"Levels of Distribution and the Affine Sieve\",\"authors\":\"Alex Kontorovich\",\"doi\":\"10.5802/AFST.1432\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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.\",\"PeriodicalId\":169800,\"journal\":{\"name\":\"Annales de la Faculté des sciences de Toulouse : Mathématiques\",\"volume\":\"32 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"17\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annales de la Faculté des sciences de Toulouse : Mathématiques\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5802/AFST.1432\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales de la Faculté des sciences de Toulouse : Mathématiques","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5802/AFST.1432","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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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