A quasipolynomial inverse theorem for the ${\mathsf{U}}^k({\mathbb{F}}_p^n)$ norm in the high characteristic

Luka Milićević

We prove an inverse theorem for the Gowers uniformity norm ${\mathsf{U}}^k({\mathbb{F}}_p^n)$ with quasipolynomial bounds in the case when $p\ge k$. The inverse theorem follows from…