Exponential correlation decay for non-classical polynomial phases
Let ppp be a prime and let k≥p+2k\geq p+2k≥p+2 be an integer. For each nnn, consider functions f :Fpn→Cf\colon\mathbb F_p^n\to\mathbb Cf:Fpn→C with ∥f∥∞≤1\|f\|_{\infty}\leq 1∥f∥∞≤1 and Gowers norm…