An inverse theorem for the Gowers U^4 norm
We prove the so-called inverse conjecture for the Gowers U^{s+1}-norm in the case s = 3 (the cases s < 3 being established in previous literature). That is, we establish that if f : [N] -> C is a function with |f(n)| <= 1 for all n and || f ||_{U^4} >= \delta then there i...
Main Authors: | , , |
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Format: | Journal article |
Published: |
2009
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