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math.NT2013★ 2 cited
On the quantitative distribution of polynomial nilsequences - erratum
Ben Green, Terence Tao
This is an erratum to 'On the quantitative distribution of polynomial nilsequences' [GT]. The proof of Theorem 8.6 of that paper, which claims a distribution result for multiparame…
math.NT2013★ 2 cited
A multi-dimensional Szemerédi theorem for the primes via a correspondence principle
Terence Tao, Tamar Ziegler
We establish a version of the Furstenberg-Katznelson multi-dimensional Szemerédi in the primes , which roughly speaking asserts that any dense sub…
math.NT2013
Small doubling in groups
Emmanuel Breuillard, Ben Green, Terence Tao
Let A be a subset of a group G = (G,.). We will survey the theory of sets A with the property that |A.A| <= K|A|, where A.A = {a_1 a_2 : a_1, a_2 in A}. The case G = (Z,+) is the f…