\stackrel{\mathcal{D}}{=} n^{\beta-0}\sum_{x\in\mathbb{Z}} \Biggl( \Biggl|\sum _{i=0}^k\theta_i\Gamma_n(\tau_i,\{x/n\}) \Biggr|^\beta \operatorname{sgn} \Biggl(\sum_{i=0}^k\theta_i\Gamma_n(\tau_i,\{x/n\}) \Biggr) \Biggr)