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.
@article{urn:eudml:doc:41790, title = {Arithmetic progressions and the primes.}, journal = {Collectanea Mathematica}, volume = {57}, year = {2006}, pages = {37-88}, zbl = {1109.11043}, mrnumber = {MR2264205}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41790} }
Tao, Terence. Arithmetic progressions and the primes.. Collectanea Mathematica, Tome 57 (2006) pp. 37-88. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41790/