1 problem

Let $p_1,\ldots,p_d\in\mathbb{Z}$, let $\alpha\in\mathbb{R}\setminus\{0\}$, and let $u\in\mathbb{R}^d\setminus\{0\}$. For $\langle x\rangle\in\mathbb{T}^d$, define … where…