Linear Forms and Higher-Degree Uniformity for Functions On $${\mathbb{F}^{n}_{p}}$$

Linear equations in primes

(2010) Benjamin Green et al.   ANNALS OF MATHEMATICS

Decompositions, approximate structure, transference, and the Hahn-Banach theorem

(2010) W. T. Gowers   BULLETIN OF THE LONDON MATHEMATICAL SOCIETY

An Inverse Theorem for the Uniformity Seminorms Associated with the Action of \mathbb {F}^{\infty}_{p

(2010) Vitaly Bergelson et al.   GEOMETRIC AND FUNCTIONAL ANALYSIS

The inverse conjecture for the Gowers norm over finite fields via the correspondence principle

(2010) Terence Tao et al.   Analysis & PDE

The primes contain arbitrarily long arithmetic progressions

(2009) Benjamin Green et al.   ANNALS OF MATHEMATICS

The true complexity of a system of linear equations

(2009) W. T. Gowers et al.   PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY

Orbit of the diagonal in the power of a nilmanifold

(2009) A. Leibman   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

The primes contain arbitrarily long polynomial progressions

(2008) Terence Tao et al.   ACTA MATHEMATICA

AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM

(2008) Ben Green et al.   PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY