## Arithmetic progressions and the primes - El Escorial lectures

by
Terence Tao

Venue: | Collectanea Mathematica (2006), Vol. Extra., 37-88 (Proceedings of the 7th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial |

Citations: | 3 - 0 self |

### BibTeX

@INPROCEEDINGS{Tao_arithmeticprogressions,

author = {Terence Tao},

title = {Arithmetic progressions and the primes - El Escorial lectures},

booktitle = {Collectanea Mathematica (2006), Vol. Extra., 37-88 (Proceedings of the 7th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial},

year = {}

}

### OpenURL

### Abstract

Abstract. We describe some of the machinery behind recent progress in establishing infinitely many arithmetic progressions of length k in various sets of integers, in particular in arbitrary dense subsets of the integers, and in the primes. 1.