An $m^{2.943}$ Bohnenblust--Hille Bound on the Boolean Cube

Joseph Slote, Chun-Kai Tseng, Alexander Volberg

Let $q_m=2m/(m+1)$ and put \[ β_0=\frac{3}{2}+\frac{1}{\log 2}=2.9426950408\ldots, \] where $\log$ is the natural logarithm. We give a proof scheme showing that, for every $\vareps…