Polynomial Bohnenblust--Hille bounds for product of cyclic groups

Joseph Slote, Alexander Volberg

Fix an integer $K\ge 2$, and let $C_K^n=\{(e^{\frac{2\pi ij}{K}}{)}_{j=0}^{K-1}{\}}^n$ be the product of cyclic groups of order $K$. For a Fourier character ${\chi }_{\alpha }$, let $s(\alpha )$ be the numbe…