The Voronoi Summation Formula for ${\mathrm{GL}}_n$ and the Godement-Jacquet Kernels

Dihua Jiang, Zhaolin Li

Let $\mathbb{A}$ be the ring of adeles of a number field $k$ and $\pi$ be an irreducible cuspidal automorphic representation of ${\mathrm{GL}}_n(\mathbb{A})$. In the previous work of t…