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Let $p$ be a fixed prime number and $N$ be a large integer. The “Inverse Conjecture for the Gowers norm” states that if the “$d$-th Gowers norm” of a function $f:\mathbb{F}^N_p \to \mathbb{F}_p$ is non-negligible, that is, larger than a constant independent of $N$, then $f$ is non-trivially correlated to …