Inverse theorem for the Gowers U3 norm over a finite field
= Inverse theorem for the Gowers U3 norm over a finite field
{title2=$U^3$ inverse theorem}
For fixed prime $p$, a one-bounded function on $\mathbb F_p^n$ with $U^3$ norm at least $\delta$ has correlation bounded below in terms of $p$ and $\delta$ with a quadratic phase, with the usual nonclassical formulation in small characteristic.