Arithmetic progressions and the primes.

Terence Tao

Collectanea Mathematica (2006)

  • Volume: 57, Issue: Extra, page 37-88
  • ISSN: 0010-0757

Abstract

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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.

How to cite

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Tao, Terence. "Arithmetic progressions and the primes.." Collectanea Mathematica 57.Extra (2006): 37-88. <http://eudml.org/doc/41790>.

@article{Tao2006,
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.},
author = {Tao, Terence},
journal = {Collectanea Mathematica},
keywords = {Teoría multiplicativa de números; Números primos; Teoría ergódica; Progresiones aritméticas; prime numbers; arithmetic progressions},
language = {eng},
number = {Extra},
pages = {37-88},
title = {Arithmetic progressions and the primes.},
url = {http://eudml.org/doc/41790},
volume = {57},
year = {2006},
}

TY - JOUR
AU - Tao, Terence
TI - Arithmetic progressions and the primes.
JO - Collectanea Mathematica
PY - 2006
VL - 57
IS - Extra
SP - 37
EP - 88
AB - 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.
LA - eng
KW - Teoría multiplicativa de números; Números primos; Teoría ergódica; Progresiones aritméticas; prime numbers; arithmetic progressions
UR - http://eudml.org/doc/41790
ER -

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