Annals of Mathematics· 2012Q1
An inverse theorem for the Gowers U^(s+1)[N]-norm
- 157citations
- Q1SCImago
- 2012year
Short summary
A new inverse theorem for the Gowers U^(s+1)[N]-norm is established for all s >= 1, with novel results for s >= 4.
AI-generated from the title and abstract; the full text is not read.
Key points
- Proves the inverse conjecture for the Gowers U^(s+1)[N]-norm for all s >= 1.
- Establishes new results for s >= 4, extending prior work.
- The theorem characterizes functions close to being s+1-step polynomial.
AI-generated from the title and abstract; the full text is not read.
Abstract
We prove the inverse conjecture for the Gowers U s+1 [N ]-norm for all s 1; this is new for s 4. More precisely, we establish that if f :
The authors' abstract, as published at the source. Annals of Mathematics, 2012 · DOI ↗
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Field: Discrete Mathematics and Combinatorics
Discrete Mathematics and CombinatoricsMathematics