English

Levels of Distribution and the Affine Sieve

Number Theory 2014-06-06 v1

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.

Keywords

Cite

@article{arxiv.1406.1375,
  title  = {Levels of Distribution and the Affine Sieve},
  author = {Alex Kontorovich},
  journal= {arXiv preprint arXiv:1406.1375},
  year   = {2014}
}

Comments

34 pages, 2 figures