Quantitative inverse theorem for Gowers uniformity norms ${\mathsf{U}}^5$ and ${\mathsf{U}}^6$ in ${\mathbb{F}}_2^n$

Luka Milićević

We prove quantitative bounds for the inverse theorem for Gowers uniformity norms ${\mathsf{U}}^5$ and ${\mathsf{U}}^6$ in ${\mathbb{F}}_2^n$. The proof starts from an earlier partial res…