The Wang--Sun Sum over Affine Derangements

Octavio A. Agust\'ın Aquino

Let $n$ be even, let $\zeta$ be a primitive $n$-th root of unity, and let ${\Delta }_n$ be the set of derangements in the affine group $\overrightarrow{GL}(\mathbb{Z}/n\mathbb{Z})$. We evaluat…