Analytic twists of $\mathrm{G}{\mathrm{L}}_3\times \mathrm{G}{\mathrm{L}}_2$ automorphic forms

Yongxiao Lin, Qingfeng Sun

Let $\pi$ be a Hecke--Maass cusp form for $\mathrm{S}{\mathrm{L}}_3(\mathbb{Z})$ with normalized Hecke eigenvalues ${\lambda }_{\pi }(n,r)$. Let $f$ be a holomorphic or Maass cusp form for $\mathrm{S}{\mathrm{L}}_2(\mathbb{Z})$…