An equivalence between inverse sumset theorems and inverse conjectures for the U^3 norm

We establish a correspondence between inverse sumset theorems (which can be viewed as classifications of approximate (abelian) groups) and inverse theorems for the Gowers norms (which can be viewed as classifications of approximate polynomials). In particular, we show that the inverse sumset theorem...

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Auteurs principaux: Green, B, Tao, T
Format: Journal article
Publié: 2009