Mockenhaupt's Three-Term Hardy-Littlewood Majorant Conjecture

Guancheng Pan, Chengsong You, Hengyu Wang +2

For an integer $k\ge 0$, let $f_k(x)=1+e(x)+e((k+2)x)$ and $g_k(x)=1+e(x)-e((k+2)x)$ on $\mathbb{T}=\mathbb{R}/\mathbb{Z}$, where $e(x)=e^{2\pi ix}$. Mockenhaupt con…