Equidistribution summing over the euclidean ball

Question

Given a vector $v\in \mathbb{Z}^d\setminus\{0\}$, an irrational number $\eta$ and some $M>0$ is it true that$$\Big(\frac{\sqrt{d}}{M}\Big)^{d}\sum_{w\in \mathbb{Z}^d\cap B(0, M)}\exp(2\pi i \eta \cdot \langle v, w \rangle)\to 0,$$ when $M\to \infty$, where $B(0,M)$ is the euclidean ball of radius $M$ and center $0$? Is there some general equidistibution theorem I can use to prove it?