Gowers Uniformity Norms
Higher-order Fourier analysis and inverse theorems.
Gowers Uniformity Norms. Higher-order Fourier analysis and inverse theorems.
Supporting and adjacent work
A number of supporting contributions sharpen specific aspects of gowers uniformity norms or connect it to neighbouring problems. A new proof of Szemerédi’s theorem (Gowers, 2001) contributes to this area as one of the supporting references that inform current practice.
Open methodological questions for gowers uniformity norms include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
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